### 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:
		case FILE_SAVE_AS_SCENE: {
			int scene_idx = (current_menu_option == FILE_SAVE_SCENE || current_menu_option == FILE_SAVE_AS_SCENE) ? -1 : tab_closing_idx;
			if (file->get_file_mode() == EditorFileDialog::FILE_MODE_SAVE_FILE) {
				bool same_open_scene = false;
				for (int i = 0; i < editor_data.get_edited_scene_count(); i++) {
					if (editor_data.get_scene_path(i) == p_file && i != scene_idx) {
						same_open_scene = true;
					}
				}
				if (same_open_scene) {
					show_warning(TTR("Can't overwrite scene that is still open!"));
					return;
				}
				_save_default_environment();
				_save_scene_with_preview(p_file, scene_idx);
				_add_to_recent_scenes(p_file);
				save_layout();
				if (scene_idx != -1) {
					_discard_changes();
				}
			}
		} break;
		case FILE_SAVE_AND_RUN: {
			if (file->get_file_mode() == EditorFileDialog::FILE_MODE_SAVE_FILE) {
				_save_default_environment();
				_save_scene_with_preview(p_file);
				_run(false, p_file);
			}