### 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)

file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/reopen_closed_scene", TTR("Reopen Closed Scene"), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::SHIFT + Key::T), FILE_OPEN_PREV);
	file_menu->add_submenu_item(TTR("Open Recent"), "RecentScenes", FILE_OPEN_RECENT);
	file_menu->add_separator();
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/save_scene", TTR("Save Scene"), KeyModifierMask::CMD_OR_CTRL + Key::S), FILE_SAVE_SCENE);
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/save_scene_as", TTR("Save Scene As..."), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::SHIFT + Key::S), FILE_SAVE_AS_SCENE);
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/save_all_scenes", TTR("Save All Scenes"), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::SHIFT + KeyModifierMask::ALT + Key::S), FILE_SAVE_ALL_SCENES);
	file_menu->add_separator();
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/quick_open", TTR("Quick Open..."), KeyModifierMask::SHIFT + KeyModifierMask::ALT + Key::O), FILE_QUICK_OPEN);
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/quick_open_scene", TTR("Quick Open Scene..."), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::SHIFT + Key::O), FILE_QUICK_OPEN_SCENE);
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/quick_open_script", TTR("Quick Open Script..."), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::ALT + Key::O), FILE_QUICK_OPEN_SCRIPT);
	file_menu->add_separator();
	export_as_menu = memnew(PopupMenu);
	export_as_menu->set_name("Export");
	file_menu->add_child(export_as_menu);
	file_menu->add_submenu_item(TTR("Export As..."), "Export");
	export_as_menu->add_shortcut(ED_SHORTCUT("editor/export_as_mesh_library", TTR("MeshLibrary...")), FILE_EXPORT_MESH_LIBRARY);
	export_as_menu->connect("index_pressed", callable_mp(this, &EditorNode::_export_as_menu_option));
	file_menu->add_separator();
	file_menu->add_shortcut(ED_GET_SHORTCUT("ui_undo"), EDIT_UNDO, true);
	file_menu->add_shortcut(ED_GET_SHORTCUT("ui_redo"), EDIT_REDO, true);
	file_menu->add_separator();
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/reload_saved_scene", TTR("Reload Saved Scene")), EDIT_RELOAD_SAVED_SCENE);
	file_menu->add_shortcut(ED_SHORTCUT_AND_COMMAND("editor/close_scene", TTR("Close Scene"), KeyModifierMask::CMD_OR_CTRL + KeyModifierMask::SHIFT + Key::W), FILE_CLOSE);
	recent_scenes = memnew(PopupMenu);
	recent_scenes->set_name("RecentScenes");
	file_menu->add_child(recent_scenes);
	recent_scenes->connect("id_pressed", callable_mp(this, &EditorNode::_open_recent_scene));
	if (!global_menu || !OS::get_singleton()->has_feature("macos")) {
		
		file_menu->add_separator();