### 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)

case SCENE_TAB_CLOSE:
		case FILE_SAVE_SCENE: {
			int scene_idx = (p_option == FILE_SAVE_SCENE) ? -1 : tab_closing_idx;
			Node *scene = editor_data.get_edited_scene_root(scene_idx);
			if (scene && !scene->get_scene_file_path().is_empty()) {
				if (DirAccess::exists(scene->get_scene_file_path().get_base_dir())) {
					if (scene_idx != editor_data.get_edited_scene()) {
						_save_scene_with_preview(scene->get_scene_file_path(), scene_idx);
					} else {
						_save_scene_with_preview(scene->get_scene_file_path());
					}
					if (scene_idx != -1) {
						_discard_changes();
					}
					save_layout();
				} else {
					show_save_accept(vformat(TTR("%s no longer exists! Please specify a new save location."), scene->get_scene_file_path().get_base_dir()), TTR("OK"));
				}
				break;
			}
			[[fallthrough]];
		}
		case FILE_SAVE_AS_SCENE: {
			int scene_idx = (p_option == FILE_SAVE_SCENE || p_option == FILE_SAVE_AS_SCENE) ? -1 : tab_closing_idx;
			Node *scene = editor_data.get_edited_scene_root(scene_idx);
			if (!scene) {
				if (p_option == FILE_SAVE_SCENE) {
					
					
					ScriptEditor::get_singleton()->save_current_script();