Invoke task from other task and passing some arguments?

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Invoking task from another task is deprecated. Use task dependsOn or mustRunAfter or finalizedBy methods, instead.

For example your task copyFlavor1 can be written as follows.

task copyFlavor1(dependsOn: 'copyFlavorGoogleServicesJson')

To pass parameter is achieved by passing it from property by command parameter

gradle copyFlavor1 -PflavorName1=someValue

ext {
    flavor1 = project.hasProperty('flavorName1') ? project.property('flavorName1') : 'defaultName'
}

(I’m sorry for not having knowledge on com.android.application plugin.)