A list gets populated with data from a Room (sqlite) db.
By following tutorials and examples, mostly from Android itself, I came up with the following layered architecture:

// --- database dao layer ---
@Entity (...)
data class Data(...)

@Query("SELECT * FROM ... where ...")
fun getData(...): Flow<List<Data>>

// --- repository ---
fun getDataStream(...): Flow<List<Data>> = dao.getData(...)

// --- viewModel ---
sealed interface SomeUiState {
    data object Loading: SomeUiState
    data class Loaded(val dataList: List<Data>,...): SomeUiState
}

class SomeViewModel(repository, ...) : ViewModel() {
    val uiState: StateFlow<SomeUiState> = repository.getDataStream(...)
        .map { data ->
            SomeUiState.Loaded(data,...)
        }.stateIn(
            scope = viewModelScope,
            initialValue = SomeUiState.Loading,
            started = SharingStarted.WhileSubscribed(stopTimeoutMillis = 5000)
        ) 

    fun addNewData(...) {
        val newData = SomeData(...)        
        viewModelScope.launch {
            repository.insertData(newData)
        }
    }
}

// --- UI ---
@Composable
fun StatefullScreen(viewModel: SomeViewModel = viewModel()) {
    val uiState by viewModel.uiState.collectAsStateWithLifecycle()
    StatelessScreen(uiState)
}

@Composable
fun StatelessScreen(uiState: SomeUiState) {
    val listItems = mutableListOf<PreparedListItem>()
    uiState.dataList.map {
        // Preparing the actual list items
        // Should I ideally do this in the uiState? I guess it's not relevant.
    }.toCollection(listItems)
    TheListComposable(listItems, modifier...)
}

The list gets displayed on the screen, the insert of new data works…but how do I update the list on the screen after an insert? Do I need to trigger the uiState flow somehow?