WIP: Persist quake window size

[metal-gabe]

Summary of the Pull Request

Adds state persistence logic for the quake window to remember its size.

Note

This PR addresses the first item in the linked checklist below. Separate PR's will be submitted for the other items.

References and Relevant Issues

Implementation Checklist

Detailed Description of the Pull Request / Additional comments

• Added WM_EXITSIZEMOVE case to IslandWindow to check, calculate & store new quake window size
• Added a global ApplicationState property of quakeWindowSizePercent to store & track resized values (defaults to 50%)
• Updated AppHost to retrieve & store the saved size
  • In the if (_windowLogic.IsQuakeWindow()) block, the logic was updated to resolve an issue (see comments below)

Validation Steps Performed

Manual Testing (document in PR):

• Open quake window (Win+<backtick>)
• Resize the quake window vertically
• Close and reopen the quake window (i.e. restart) → verify it remembers the size
• Test on multi-monitor setup → verify size persists per monitor

PR Checklist

• Closes Quake Mode should remember its size #12594
• Tests added/passed
• Documentation updated
  • If checked, please file a pull request on our docs repo and link it here: #xxx
• Schema updated (if necessary)

[metal-gabe]

The logic below was updated due to an issue where, after compiling/building, the very first activation would open on the main monitor (i.e. not on the current monitor that the cursor was on, which does not align with the behavior of the current release) at 50% (it wasn't using the stored size).

[metal-gabe]

@microsoft-github-policy-service agree

[metal-gabe]

All debug logs that were added can be removed once this PR is ready for final review.

[metal-gabe]

@zadjii-msft I'm not sure if unit tests, documentation and/or the schema should be updated. Some guidance here would be appreciated.