How can I make a convention plugin that applies Kotlin 1.4 plugins

I’ve got a multi-module Android project, and I’ve written a number of precompiled script plugins using the Kotlin DSL, which apply common conventions to my Android library modules (The Kotlin Android/AndroidExtensions/Kapt plugins, the Android Library Plugin, common dependencies, and AGP configuration).

This was working fine when the version of Kotlin we used in our app was still a 1.3.x version of Kotlin, but with the release of Kotlin 1.4, I am now running into problems.

In the build.gradle.kts of my plugin that applies the Kotlin Android plugin, I updated the Kotlin Gradle Plugin dependency to implementation("org.jetbrains.kotlin:kotlin-gradle-plugin:1.4.10"). And ever since then, when I build my plugin, I get warnings like this:

> Task :plugins:companyname-android-library:compileKotlin
The `kotlin-dsl` plugin applied to project ':plugins:companyname-android-library' enables experimental Kotlin compiler features. For more information see https://docs.gradle.org/6.5/userguide/kotlin_dsl.html#sec:kotlin-dsl_plugin
w: Runtime JAR files in the classpath should have the same version. These files were found in the classpath:
    /Users/myusername/.gradle/wrapper/dists/gradle-6.5-all/2oz4ud9k3tuxjg84bbf55q0tn/gradle-6.5/lib/kotlin-stdlib-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/wrapper/dists/gradle-6.5-all/2oz4ud9k3tuxjg84bbf55q0tn/gradle-6.5/lib/kotlin-stdlib-common-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/wrapper/dists/gradle-6.5-all/2oz4ud9k3tuxjg84bbf55q0tn/gradle-6.5/lib/kotlin-stdlib-jdk7-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/wrapper/dists/gradle-6.5-all/2oz4ud9k3tuxjg84bbf55q0tn/gradle-6.5/lib/kotlin-stdlib-jdk8-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/wrapper/dists/gradle-6.5-all/2oz4ud9k3tuxjg84bbf55q0tn/gradle-6.5/lib/kotlin-reflect-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/caches/modules-2/files-2.1/org.jetbrains.kotlin/kotlin-stdlib-jdk8/1.3.72/916d54b9eb6442b615e6f1488978f551c0674720/kotlin-stdlib-jdk8-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/caches/modules-2/files-2.1/org.jetbrains.kotlin/kotlin-reflect/1.3.72/86613e1a669a701b0c660bfd2af4f82a7ae11fca/kotlin-reflect-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/caches/modules-2/files-2.1/org.jetbrains.kotlin/kotlin-stdlib-jdk7/1.3.72/3adfc2f4ea4243e01204be8081fe63bde6b12815/kotlin-stdlib-jdk7-1.3.72.jar (version 1.3)
    /Users/myusername/.gradle/caches/modules-2/files-2.1/org.jetbrains.kotlin/kotlin-stdlib/1.4.10/ea29e063d2bbe695be13e9d044dcfb0c7add398e/kotlin-stdlib-1.4.10.jar (version 1.4)
    /Users/myusername/.gradle/caches/modules-2/files-2.1/org.jetbrains.kotlin/kotlin-stdlib-common/1.4.10/6229be3465805c99db1142ad75e6c6ddeac0b04c/kotlin-stdlib-common-1.4.10.jar (version 1.4)
w: Consider providing an explicit dependency on kotlin-reflect 1.4 to prevent strange errors
w: Some runtime JAR files in the classpath have an incompatible version. Consider removing them from the classpath

And in another plugin that depends on the plugin above, I have started to get strange errors like this:

 > Task :plugins:companyname-android-library-with-di:generatePrecompiledScriptPluginAccessors
 Failed to generate type-safe Gradle model accessors for the following precompiled script plugins:
  - src/main/kotlin/com/companyname/gradle/plugins/android/companyname-android-library-with-di.gradle.kts
 
 java.lang.NoSuchMethodError: com.companyname.gradle.plugins.android.Deps.getMockk()Lcom/companyname/gradle/plugins/android/Deps$Mockk;
 	at com.companyname.gradle.plugins.android.CompanyName_android_library_gradle$4.invoke(companyname-android-library.gradle.kts:108)
 	at com.companyname.gradle.plugins.android.CompanyName_android_library_gradle$4.invoke(companyname-android-library.gradle.kts:1)
 	at org.gradle.kotlin.dsl.ProjectExtensionsKt.dependencies(ProjectExtensions.kt:166)
 	at com.companyname.gradle.plugins.android.CompanyName_android_library_gradle.<init>(Unknown Source)
 	at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
 	at sun.reflect.NativeConstructorAccessorImpl.newInstance(NativeConstructorAccessorImpl.java:62)
 	at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(DelegatingConstructorAccessorImpl.java:45)
 	at java.lang.reflect.Constructor.newInstance(Constructor.java:423)
 	at com.companyname.gradle.plugins.android.CompanyNameAndroidLibraryPlugin.apply(CompanyNameAndroidLibraryPlugin.kt:14)
 	at com.companyname.gradle.plugins.android.CompanyNameAndroidLibraryPlugin.apply(CompanyNameAndroidLibraryPlugin.kt:8)
 	at org.gradle.api.internal.plugins.ImperativeOnlyPluginTarget.applyImperative(ImperativeOnlyPluginTarget.java:43)
 	at org.gradle.api.internal.plugins.RuleBasedPluginTarget.applyImperative(RuleBasedPluginTarget.java:51)
 	at org.gradle.api.internal.plugins.DefaultPluginManager.addPlugin(DefaultPluginManager.java:181)
 	at org.gradle.api.internal.plugins.DefaultPluginManager.access$300(DefaultPluginManager.java:51)
 	at org.gradle.api.internal.plugins.DefaultPluginManager$AddPluginBuildOperation.run(DefaultPluginManager.java:276)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$RunnableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:395)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$RunnableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:387)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$1.execute(DefaultBuildOperationExecutor.java:157)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:242)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:150)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.run(DefaultBuildOperationExecutor.java:84)
 	at org.gradle.internal.operations.DelegatingBuildOperationExecutor.run(DelegatingBuildOperationExecutor.java:31)
 	at org.gradle.api.internal.plugins.DefaultPluginManager$2.execute(DefaultPluginManager.java:159)
 	at org.gradle.api.internal.plugins.DefaultPluginManager$2.execute(DefaultPluginManager.java:156)
 	at org.gradle.configuration.internal.DefaultUserCodeApplicationContext.apply(DefaultUserCodeApplicationContext.java:49)
 	at org.gradle.api.internal.plugins.DefaultPluginManager.doApply(DefaultPluginManager.java:156)
 	at org.gradle.api.internal.plugins.DefaultPluginManager.apply(DefaultPluginManager.java:127)
 	at org.gradle.plugin.use.internal.DefaultPluginRequestApplicator.lambda$applyPlugins$0(DefaultPluginRequestApplicator.java:129)
 	at org.gradle.plugin.use.internal.DefaultPluginRequestApplicator.applyPlugin(DefaultPluginRequestApplicator.java:178)
 	at org.gradle.plugin.use.internal.DefaultPluginRequestApplicator.lambda$applyPlugins$1(DefaultPluginRequestApplicator.java:127)
 	at java.util.LinkedHashMap.forEach(LinkedHashMap.java:684)
 	at org.gradle.plugin.use.internal.DefaultPluginRequestApplicator.applyPlugins(DefaultPluginRequestApplicator.java:127)
 	at org.gradle.plugin.use.internal.DefaultPluginRequestApplicator.applyPlugins(DefaultPluginRequestApplicator.java:123)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.SyntheticProjectSchemaBuilder.applyPluginsTo(GeneratePrecompiledScriptPluginAccessors.kt:419)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.SyntheticProjectSchemaBuilder.childProjectWith(GeneratePrecompiledScriptPluginAccessors.kt:380)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.SyntheticProjectSchemaBuilder.schemaFor(GeneratePrecompiledScriptPluginAccessors.kt:370)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.GeneratePrecompiledScriptPluginAccessors.projectSchemaImpliedByPluginGroups(GeneratePrecompiledScriptPluginAccessors.kt:293)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.GeneratePrecompiledScriptPluginAccessors.generateTypeSafeAccessorsFor(GeneratePrecompiledScriptPluginAccessors.kt:158)
 	at org.gradle.kotlin.dsl.provider.plugins.precompiled.tasks.GeneratePrecompiledScriptPluginAccessors.generate(GeneratePrecompiledScriptPluginAccessors.kt:139)
 	at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
 	at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
 	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
 	at java.lang.reflect.Method.invoke(Method.java:498)
 	at org.gradle.internal.reflect.JavaMethod.invoke(JavaMethod.java:104)
 	at org.gradle.api.internal.project.taskfactory.StandardTaskAction.doExecute(StandardTaskAction.java:49)
 	at org.gradle.api.internal.project.taskfactory.StandardTaskAction.execute(StandardTaskAction.java:42)
 	at org.gradle.api.internal.project.taskfactory.StandardTaskAction.execute(StandardTaskAction.java:28)
 	at org.gradle.api.internal.AbstractTask$TaskActionWrapper.execute(AbstractTask.java:726)
 	at org.gradle.api.internal.AbstractTask$TaskActionWrapper.execute(AbstractTask.java:693)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter$3.run(ExecuteActionsTaskExecuter.java:569)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$RunnableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:395)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$RunnableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:387)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$1.execute(DefaultBuildOperationExecutor.java:157)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:242)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:150)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.run(DefaultBuildOperationExecutor.java:84)
 	at org.gradle.internal.operations.DelegatingBuildOperationExecutor.run(DelegatingBuildOperationExecutor.java:31)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter.executeAction(ExecuteActionsTaskExecuter.java:554)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter.executeActions(ExecuteActionsTaskExecuter.java:537)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter.access$300(ExecuteActionsTaskExecuter.java:108)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter$TaskExecution.executeWithPreviousOutputFiles(ExecuteActionsTaskExecuter.java:278)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter$TaskExecution.execute(ExecuteActionsTaskExecuter.java:267)
 	at org.gradle.internal.execution.steps.ExecuteStep.lambda$execute$1(ExecuteStep.java:33)
 	at java.util.Optional.orElseGet(Optional.java:267)
 	at org.gradle.internal.execution.steps.ExecuteStep.execute(ExecuteStep.java:33)
 	at org.gradle.internal.execution.steps.ExecuteStep.execute(ExecuteStep.java:26)
 	at org.gradle.internal.execution.steps.CleanupOutputsStep.execute(CleanupOutputsStep.java:67)
 	at org.gradle.internal.execution.steps.CleanupOutputsStep.execute(CleanupOutputsStep.java:36)
 	at org.gradle.internal.execution.steps.ResolveInputChangesStep.execute(ResolveInputChangesStep.java:49)
 	at org.gradle.internal.execution.steps.ResolveInputChangesStep.execute(ResolveInputChangesStep.java:34)
 	at org.gradle.internal.execution.steps.CancelExecutionStep.execute(CancelExecutionStep.java:43)
 	at org.gradle.internal.execution.steps.TimeoutStep.executeWithoutTimeout(TimeoutStep.java:73)
 	at org.gradle.internal.execution.steps.TimeoutStep.execute(TimeoutStep.java:54)
 	at org.gradle.internal.execution.steps.CatchExceptionStep.execute(CatchExceptionStep.java:34)
 	at org.gradle.internal.execution.steps.CreateOutputsStep.execute(CreateOutputsStep.java:44)
 	at org.gradle.internal.execution.steps.SnapshotOutputsStep.execute(SnapshotOutputsStep.java:54)
 	at org.gradle.internal.execution.steps.SnapshotOutputsStep.execute(SnapshotOutputsStep.java:38)
 	at org.gradle.internal.execution.steps.BroadcastChangingOutputsStep.execute(BroadcastChangingOutputsStep.java:49)
 	at org.gradle.internal.execution.steps.CacheStep.executeWithoutCache(CacheStep.java:159)
 	at org.gradle.internal.execution.steps.CacheStep.executeAndStoreInCache(CacheStep.java:135)
 	at org.gradle.internal.execution.steps.CacheStep.lambda$executeWithCache$2(CacheStep.java:112)
 	at java.util.Optional.orElseGet(Optional.java:267)
 	at org.gradle.internal.execution.steps.CacheStep.lambda$executeWithCache$3(CacheStep.java:112)
 	at org.gradle.internal.Try$Success.map(Try.java:162)
 	at org.gradle.internal.execution.steps.CacheStep.executeWithCache(CacheStep.java:81)
 	at org.gradle.internal.execution.steps.CacheStep.execute(CacheStep.java:71)
 	at org.gradle.internal.execution.steps.CacheStep.execute(CacheStep.java:43)
 	at org.gradle.internal.execution.steps.StoreExecutionStateStep.execute(StoreExecutionStateStep.java:44)
 	at org.gradle.internal.execution.steps.StoreExecutionStateStep.execute(StoreExecutionStateStep.java:33)
 	at org.gradle.internal.execution.steps.RecordOutputsStep.execute(RecordOutputsStep.java:38)
 	at org.gradle.internal.execution.steps.RecordOutputsStep.execute(RecordOutputsStep.java:24)
 	at org.gradle.internal.execution.steps.SkipUpToDateStep.executeBecause(SkipUpToDateStep.java:92)
 	at org.gradle.internal.execution.steps.SkipUpToDateStep.lambda$execute$0(SkipUpToDateStep.java:85)
 	at java.util.Optional.map(Optional.java:215)
 	at org.gradle.internal.execution.steps.SkipUpToDateStep.execute(SkipUpToDateStep.java:55)
 	at org.gradle.internal.execution.steps.SkipUpToDateStep.execute(SkipUpToDateStep.java:39)
 	at org.gradle.internal.execution.steps.ResolveChangesStep.execute(ResolveChangesStep.java:76)
 	at org.gradle.internal.execution.steps.ResolveChangesStep.execute(ResolveChangesStep.java:37)
 	at org.gradle.internal.execution.steps.legacy.MarkSnapshottingInputsFinishedStep.execute(MarkSnapshottingInputsFinishedStep.java:36)
 	at org.gradle.internal.execution.steps.legacy.MarkSnapshottingInputsFinishedStep.execute(MarkSnapshottingInputsFinishedStep.java:26)
 	at org.gradle.internal.execution.steps.ResolveCachingStateStep.execute(ResolveCachingStateStep.java:94)
 	at org.gradle.internal.execution.steps.ResolveCachingStateStep.execute(ResolveCachingStateStep.java:49)
 	at org.gradle.internal.execution.steps.CaptureStateBeforeExecutionStep.execute(CaptureStateBeforeExecutionStep.java:79)
 	at org.gradle.internal.execution.steps.CaptureStateBeforeExecutionStep.execute(CaptureStateBeforeExecutionStep.java:53)
 	at org.gradle.internal.execution.steps.ValidateStep.execute(ValidateStep.java:74)
 	at org.gradle.internal.execution.steps.SkipEmptyWorkStep.lambda$execute$2(SkipEmptyWorkStep.java:78)
 	at java.util.Optional.orElseGet(Optional.java:267)
 	at org.gradle.internal.execution.steps.SkipEmptyWorkStep.execute(SkipEmptyWorkStep.java:78)
 	at org.gradle.internal.execution.steps.SkipEmptyWorkStep.execute(SkipEmptyWorkStep.java:34)
 	at org.gradle.internal.execution.steps.legacy.MarkSnapshottingInputsStartedStep.execute(MarkSnapshottingInputsStartedStep.java:39)
 	at org.gradle.internal.execution.steps.LoadExecutionStateStep.execute(LoadExecutionStateStep.java:40)
 	at org.gradle.internal.execution.steps.LoadExecutionStateStep.execute(LoadExecutionStateStep.java:28)
 	at org.gradle.internal.execution.impl.DefaultWorkExecutor.execute(DefaultWorkExecutor.java:33)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter.executeIfValid(ExecuteActionsTaskExecuter.java:194)
 	at org.gradle.api.internal.tasks.execution.ExecuteActionsTaskExecuter.execute(ExecuteActionsTaskExecuter.java:186)
 	at org.gradle.api.internal.tasks.execution.CleanupStaleOutputsExecuter.execute(CleanupStaleOutputsExecuter.java:114)
 	at org.gradle.api.internal.tasks.execution.FinalizePropertiesTaskExecuter.execute(FinalizePropertiesTaskExecuter.java:46)
 	at org.gradle.api.internal.tasks.execution.ResolveTaskExecutionModeExecuter.execute(ResolveTaskExecutionModeExecuter.java:62)
 	at org.gradle.api.internal.tasks.execution.SkipTaskWithNoActionsExecuter.execute(SkipTaskWithNoActionsExecuter.java:57)
 	at org.gradle.api.internal.tasks.execution.SkipOnlyIfTaskExecuter.execute(SkipOnlyIfTaskExecuter.java:56)
 	at org.gradle.api.internal.tasks.execution.CatchExceptionTaskExecuter.execute(CatchExceptionTaskExecuter.java:36)
 	at org.gradle.api.internal.tasks.execution.EventFiringTaskExecuter$1.executeTask(EventFiringTaskExecuter.java:77)
 	at org.gradle.api.internal.tasks.execution.EventFiringTaskExecuter$1.call(EventFiringTaskExecuter.java:55)
 	at org.gradle.api.internal.tasks.execution.EventFiringTaskExecuter$1.call(EventFiringTaskExecuter.java:52)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$CallableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:409)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$CallableBuildOperationWorker.execute(DefaultBuildOperationExecutor.java:399)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor$1.execute(DefaultBuildOperationExecutor.java:157)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:242)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.execute(DefaultBuildOperationExecutor.java:150)
 	at org.gradle.internal.operations.DefaultBuildOperationExecutor.call(DefaultBuildOperationExecutor.java:94)
 	at org.gradle.internal.operations.DelegatingBuildOperationExecutor.call(DelegatingBuildOperationExecutor.java:36)
 	at org.gradle.api.internal.tasks.execution.EventFiringTaskExecuter.execute(EventFiringTaskExecuter.java:52)
 	at org.gradle.execution.plan.LocalTaskNodeExecutor.execute(LocalTaskNodeExecutor.java:41)
 	at org.gradle.execution.taskgraph.DefaultTaskExecutionGraph$InvokeNodeExecutorsAction.execute(DefaultTaskExecutionGraph.java:356)
 	at org.gradle.execution.taskgraph.DefaultTaskExecutionGraph$InvokeNodeExecutorsAction.execute(DefaultTaskExecutionGraph.java:343)
 	at org.gradle.execution.taskgraph.DefaultTaskExecutionGraph$BuildOperationAwareExecutionAction.execute(DefaultTaskExecutionGraph.java:336)
 	at org.gradle.execution.taskgraph.DefaultTaskExecutionGraph$BuildOperationAwareExecutionAction.execute(DefaultTaskExecutionGraph.java:322)
 	at org.gradle.execution.plan.DefaultPlanExecutor$ExecutorWorker.lambda$run$0(DefaultPlanExecutor.java:127)
 	at org.gradle.execution.plan.DefaultPlanExecutor$ExecutorWorker.execute(DefaultPlanExecutor.java:191)
 	at org.gradle.execution.plan.DefaultPlanExecutor$ExecutorWorker.executeNextNode(DefaultPlanExecutor.java:182)
 	at org.gradle.execution.plan.DefaultPlanExecutor$ExecutorWorker.run(DefaultPlanExecutor.java:124)
 	at org.gradle.internal.concurrent.ExecutorPolicy$CatchAndRecordFailures.onExecute(ExecutorPolicy.java:64)
 	at org.gradle.internal.concurrent.ManagedExecutorImpl$1.run(ManagedExecutorImpl.java:48)
 	at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1149)
 	at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:624)
 	at org.gradle.internal.concurrent.ThreadFactoryImpl$ManagedThreadRunnable.run(ThreadFactoryImpl.java:56)
 	at java.lang.Thread.run(Thread.java:748)

And the build fails, unless I do a very specific order of operations - cleaning and building my plugins included build, and then cleaning/building the root project.

From discussion in the Gradle Community Slack, it appears the problem is the embedded version of Kotlin in Gradle. How do I work around this, so I can have a plugin that has a dependency on a version of Kotlin higher than the version embedded in Gradle?