Managed to get everything up and running now after looking deeper into the build myself. I was surprised to see that the build logic for Compose does not seem to support running on Windows, so I had to resort to a VM for now. Following the instructions in the contribution guide [1] mostly worked but I used

./studiow compose

and had to comment out the MPP demos (

:compose:mpp

and its children) because they were causing build configuration errors. (I should have clarified that I'm using Jetbrains' androidx fork for Compose Multiplatform.) [1] https://github.com/androidx/androidx/blob/androidx-main/CONTRIBUTING.md