### 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)

project_menu->add_child(tool_menu);
	project_menu->add_submenu_item(TTR("Tools"), "Tools");
	tool_menu->add_item(TTR("Orphan Resource Explorer..."), TOOLS_ORPHAN_RESOURCES);
	project_menu->add_separator();
	project_menu->add_shortcut(ED_SHORTCUT("editor/reload_current_project", TTR("Reload Current Project")), RELOAD_CURRENT_PROJECT);
	ED_SHORTCUT_AND_COMMAND("editor/quit_to_project_list", TTR("Quit to Project List"), KeyModifierMask::CTRL + KeyModifierMask::SHIFT + Key::Q);
	ED_SHORTCUT_OVERRIDE("editor/quit_to_project_list", "macos", KeyModifierMask::SHIFT + KeyModifierMask::ALT + Key::Q);
	project_menu->add_shortcut(ED_GET_SHORTCUT("editor/quit_to_project_list"), RUN_PROJECT_MANAGER, true);
	
	HBoxContainer *left_spacer = memnew(HBoxContainer);
	left_spacer->set_mouse_filter(Control::MOUSE_FILTER_PASS);
	left_spacer->set_h_size_flags(Control::SIZE_EXPAND_FILL);
	menu_hb->add_child(left_spacer);
	if (can_expand && global_menu) {
		project_title = memnew(Label);
		project_title->add_theme_font_override("font", gui_base->get_theme_font(SNAME("bold"), SNAME("EditorFonts")));
		project_title->add_theme_font_size_override("font_size", gui_base->get_theme_font_size(SNAME("bold_size"), SNAME("EditorFonts")));
		project_title->set_focus_mode(Control::FOCUS_NONE);
		project_title->set_text_overrun_behavior(TextServer::OVERRUN_TRIM_ELLIPSIS);
		project_title->set_vertical_alignment(VERTICAL_ALIGNMENT_CENTER);
		project_title->set_h_size_flags(Control::SIZE_EXPAND_FILL);
		left_spacer->add_child(project_title);
	}
	main_editor_button_hb = memnew(HBoxContainer);
	menu_hb->add_child(main_editor_button_hb);
	
	debug_menu = memnew(PopupMenu);
	debug_menu->set_name(TTR("Debug"));
	main_menu->add_child(debug_menu);
	settings_menu = memnew(PopupMenu);