Review code for thread-safety issues

[grote]

So far, we use MutableStateFlows that get updated from Kotlin coroutines on Dispatchers.IO which maybe use several I/O threads. We should check if there's any issues with that like if we always see the latest value, if we can access the value from any thread, etc.

[grote]

This is how getter and setter are implemented: https://github.com/Kotlin/kotlinx.coroutines/blob/b231887c3214187cf7f09a74073f84383a487b71/kotlinx-coroutines-core/common/src/flow/StateFlow.kt#L309