Remember Last Space

### Your use case

When launching the app it opens on the Space of the room last selected.
#### What would you like to do?
Reopen app on last selected Space.
#### Why would you like to do it?
To continue where left off and avoid having to navigate back to the last selected Space.

### Have you considered any alternatives?

_No response_

### Additional context

_No response_

Start by tracing the app launch flow and the state that tracks the currently selected Space. Determine how the last selected Space can be identified and restored when the app opens. Done means reopening the app selects the Space from the previous session and still behaves normally when no prior Space is available.

Written by the indexing model from the issue text.