where can I see the matrix of gradle wrapper/ gradle plugin/kotlin version/compose version that will work together ?

and where exactly do you specify this Compose Compiler version?

I put it in android.composeOptions in my build gradle

well now I get this The Compose Compiler requires the Compose Runtime to be on the class path, but none could be found. The compose compiler plugin you are using (version 1.2.0-alpha03) expects a minimum runtime version of 1.0.0.

You also need to add the compose runtime, foundation, material, etc. dependencies.

so at compile time it catches this

That looks right