### 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)

Ref<GDExtensionExportPlugin> gdextension_export_plugin;
	gdextension_export_plugin.instantiate();
	EditorExport::get_singleton()->add_export_plugin(gdextension_export_plugin);
	Ref<PackedSceneEditorTranslationParserPlugin> packed_scene_translation_parser_plugin;
	packed_scene_translation_parser_plugin.instantiate();
	EditorTranslationParser::get_singleton()->add_parser(packed_scene_translation_parser_plugin, EditorTranslationParser::STANDARD);
	_edit_current();
	current = nullptr;
	saving_resource = Ref<Resource>();
	set_process(true);
	open_imported = memnew(ConfirmationDialog);
	open_imported->set_ok_button_text(TTR("Open Anyway"));
	new_inherited_button = open_imported->add_button(TTR("New Inherited"), !DisplayServer::get_singleton()->get_swap_cancel_ok(), "inherit");
	open_imported->connect("confirmed", callable_mp(this, &EditorNode::_open_imported));
	open_imported->connect("custom_action", callable_mp(this, &EditorNode::_inherit_imported));
	gui_base->add_child(open_imported);
	quick_open = memnew(EditorQuickOpen);
	gui_base->add_child(quick_open);
	quick_open->connect("quick_open", callable_mp(this, &EditorNode::_quick_opened));
	quick_run = memnew(EditorQuickOpen);
	gui_base->add_child(quick_run);
	quick_run->connect("quick_open", callable_mp(this, &EditorNode::_quick_run));
	_update_recent_scenes();
	set_process_shortcut_input(true);
	load_errors = memnew(RichTextLabel);
	load_error_dialog = memnew(AcceptDialog);
	load_error_dialog->add_child(load_errors);
	load_error_dialog->set_title(TTR("Load Errors"));
	gui_base->add_child(load_error_dialog);
	execute_outputs = memnew(RichTextLabel);