Fullscreen toggle unreliable? (MacOS)

• Haxe version: 4.2.5
• Flixel version: 5.6.2
• OpenFL version: 9.3.3-L3uoGG
• Lime version: 8.1.2
• Affected targets: MacOS 14.0 (23A344)

Code snippet reproducing the issue:

import flixel.FlxG;
import flixel.FlxState;

class PlayState extends FlxState
{
	override public function create()
	{
		super.create();
	}

	var fullscreen_cached:Bool = false;

	override public function update(elapsed:Float)
	{
		super.update(elapsed);
		// trace elapsed
		FlxG.watch.addQuick("FlxG.fullscreen", FlxG.fullscreen);
		// FlxG.watch.addQuick("displaystate", stage.displayState);
		if (FlxG.keys.justPressed.F)
		{
			FlxG.fullscreen = !FlxG.fullscreen;
		}
		if (FlxG.keys.justPressed.G)
		{
			FlxG.stage.window.fullscreen = !FlxG.stage.window.fullscreen;
		}
		if (FlxG.keys.justPressed.H)
		{
			fullscreen_cached = !fullscreen_cached;
			FlxG.stage.window.fullscreen = fullscreen_cached;
		}
	}
}

Observed behavior:
The game starts windowed mode (either neko or CPP builds have it).
Optional: Press F2 to open debug window to see FlxG.fullscreen in the watch panel.
1: Press F to toggle to fullscreen
2: Press F again. Note in the debug window that FlxG.fullscreen is now false, even though the game remains in windowed mode.
3: Press F again. FlxG.fullscreen is now true, and the game remains in fullscreen.
4: Press F again. This time it switches to windowed mode, and in the debugger, FlxG.fullscreen is now negative
(you can keep pressing F and the behaviour loops)

Expected behavior:
I expect step 2 to bring me back to windowed mode.

Also note, pressing G to assign FlxG.state.window.fullscreen also has errors, but you press it three times to go back to windowed rather than four. Caching the value yourself as in H works. (But doesn't keep track of the user manually maximising the window by pressing the button).

I guess I should see if Lime... has this behaviour as well. Indeed it does, though...slightly different behaviour - https://github.com/openfl/lime/issues/1771

Start with the Haxe reproduction in the issue and compare FlxG.fullscreen with FlxG.stage.window.fullscreen on macOS. Review the linked Lime issue for related behavior before tracing the fullscreen state changes. Done means the reproduction returns to windowed mode on the second F press and remains consistent with the expected toggle behavior.