### 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)

if (FileAccess::exists(current_res->get_path() + ".import")) {
				editable_info = TTR("This resource was imported, so it's not editable. Change its settings in the import panel and then re-import.");
			}
		}
	} else if (is_node) {
		Node *current_node = Object::cast_to<Node>(current_obj);
		ERR_FAIL_COND(!current_node);
		InspectorDock::get_inspector_singleton()->edit(current_node);
		if (current_node->is_inside_tree()) {
			NodeDock::get_singleton()->set_node(current_node);
			SceneTreeDock::get_singleton()->set_selected(current_node);
			InspectorDock::get_singleton()->update(current_node);
			if (!inspector_only && !skip_main_plugin) {
				skip_main_plugin = stay_in_script_editor_on_node_selected && ScriptEditor::get_singleton()->is_visible_in_tree();
			}
		} else {
			NodeDock::get_singleton()->set_node(nullptr);
			SceneTreeDock::get_singleton()->set_selected(nullptr);
			InspectorDock::get_singleton()->update(nullptr);
		}
		if (get_edited_scene() && !get_edited_scene()->get_scene_file_path().is_empty()) {
			String source_scene = get_edited_scene()->get_scene_file_path();
			if (FileAccess::exists(source_scene + ".import")) {
				editable_info = TTR("This scene was imported, so changes to it won't be kept.\nInstantiating or inheriting it will allow you to make changes to it.\nPlease read the documentation relevant to importing scenes to better understand this workflow.");
				info_is_warning = true;
			}
		}
	} else {
		Node *selected_node = nullptr;
		if (current_obj->is_class("EditorDebuggerRemoteObject")) {