### 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)

scene_root_parent->add_theme_style_override("panel", gui_base->get_theme_stylebox(SNAME("Content"), SNAME("EditorStyles")));
	scene_root_parent->set_draw_behind_parent(true);
	srt->add_child(scene_root_parent);
	scene_root_parent->set_v_size_flags(Control::SIZE_EXPAND_FILL);
	scene_root = memnew(SubViewport);
	scene_root->set_embedding_subwindows(true);
	scene_root->set_disable_3d(true);
	scene_root->set_disable_input(true);
	scene_root->set_as_audio_listener_2d(true);
	main_screen_vbox = memnew(VBoxContainer);
	main_screen_vbox->set_name("MainScreen");
	main_screen_vbox->set_v_size_flags(Control::SIZE_EXPAND_FILL);
	main_screen_vbox->add_theme_constant_override("separation", 0);
	scene_root_parent->add_child(main_screen_vbox);
	bool global_menu = !bool(EDITOR_GET("interface/editor/use_embedded_menu")) && DisplayServer::get_singleton()->has_feature(DisplayServer::FEATURE_GLOBAL_MENU);
	bool can_expand = bool(EDITOR_GET("interface/editor/expand_to_title")) && DisplayServer::get_singleton()->has_feature(DisplayServer::FEATURE_EXTEND_TO_TITLE);
	if (can_expand) {
		
		left_menu_spacer = memnew(Control);
		left_menu_spacer->set_mouse_filter(Control::MOUSE_FILTER_PASS);
		menu_hb->add_child(left_menu_spacer);
	}
	main_menu = memnew(MenuBar);
	menu_hb->add_child(main_menu);
	main_menu->add_theme_style_override("hover", gui_base->get_theme_stylebox(SNAME("MenuHover"), SNAME("EditorStyles")));
	main_menu->set_flat(true);
	main_menu->set_start_index(0); 
	main_menu->set_prefer_global_menu(global_menu);
	main_menu->set_switch_on_hover(true);
	file_menu = memnew(PopupMenu);