### Godot version

4.0 d93b66a

### System information

Windows 10 x64

### Issue description

I have a 2D scene with some 3D nodes. The root is node 2D, most nodes are 2D, I have 2D node selected. When I switch scene tab and back, the editor switches to 3D view, even though the 2D node is still selected.

I managed to strip the scene to bare minimum. You need a Node3D with Camera3D and DirectionalLight3D children.

https://user-images.githubusercontent.com/2223172/213327465-ba07760e-6dab-43c0-96e8-5109fcc0a576.mp4


### Steps to reproduce

1. Make 2D scene
2. Add some 3D
3. This bug has a chance to happen
4. Check the repro for setup that reproduces the issue

### Minimal reproduction project

[3DBug.tscn.txt](https://github.com/godotengine/godot/files/10452297/3DBug.tscn.txt)

if (id) {
		if (!DisplayServer::get_singleton()->is_touchscreen_available() && Input::get_singleton()) {
			
			id->set_emulate_touch_from_mouse(false);
		}
		DisplayServer::get_singleton()->cursor_set_custom_image(Ref<Resource>());
	}
	singleton = this;
	EditorUndoRedoManager::get_singleton()->connect("version_changed", callable_mp(this, &EditorNode::_update_undo_redo_allowed));
	EditorUndoRedoManager::get_singleton()->connect("history_changed", callable_mp(this, &EditorNode::_update_undo_redo_allowed));
	TranslationServer::get_singleton()->set_enabled(false);
	
	if (!EditorSettings::get_singleton()) {
		EditorSettings::create();
	}
	FileAccess::set_backup_save(EDITOR_GET("filesystem/on_save/safe_save_on_backup_then_rename"));
	{
		int display_scale = EDITOR_GET("interface/editor/display_scale");
		switch (display_scale) {
			case 0:
				
				editor_set_scale(EditorSettings::get_singleton()->get_auto_display_scale());
				break;
			case 1:
				editor_set_scale(0.75);
				break;
			case 2:
				editor_set_scale(1.0);
				break;
			case 3: