### 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)

break;
			}
			editor_run.stop();
			run_custom_filename.clear();
			run_current_filename.clear();
			stop_button->set_disabled(true);
			_reset_play_buttons();
			if (bool(EDITOR_GET("run/output/always_close_output_on_stop"))) {
				for (int i = 0; i < bottom_panel_items.size(); i++) {
					if (bottom_panel_items[i].control == log) {
						_bottom_panel_switch(false, i);
						break;
					}
				}
			}
			EditorDebuggerNode::get_singleton()->stop();
			emit_signal(SNAME("stop_pressed"));
		} break;
		case FILE_SHOW_IN_FILESYSTEM: {
			String path = editor_data.get_scene_path(editor_data.get_edited_scene());
			if (!path.is_empty()) {
				FileSystemDock::get_singleton()->navigate_to_path(path);
			}
		} break;
		case RUN_PLAY_SCENE: {
			if (run_current_filename.is_empty() || editor_run.get_status() == EditorRun::STATUS_STOP) {
				run_play_current();
			} else {
				String last_current_scene = run_current_filename; 
				run_play_custom(last_current_scene);