### 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)

_screenshot();
}
void EditorNode::_screenshot(bool p_use_utc) {
	String name = "editor_screenshot_" + Time::get_singleton()->get_datetime_string_from_system(p_use_utc).replace(":", "") + ".png";
	NodePath path = String("user://") + name;
	_save_screenshot(path);
	if (EDITOR_GET("interface/editor/automatically_open_screenshots")) {
		OS::get_singleton()->shell_open(String("file://") + ProjectSettings::get_singleton()->globalize_path(path));
	}
}
void EditorNode::_save_screenshot(NodePath p_path) {
	Control *editor_main_screen = EditorInterface::get_singleton()->get_editor_main_screen();
	ERR_FAIL_COND_MSG(!editor_main_screen, "Cannot get the editor main screen control.");
	Viewport *viewport = editor_main_screen->get_viewport();
	ERR_FAIL_COND_MSG(!viewport, "Cannot get a viewport from the editor main screen.");
	Ref<ViewportTexture> texture = viewport->get_texture();
	ERR_FAIL_COND_MSG(texture.is_null(), "Cannot get a viewport texture from the editor main screen.");
	Ref<Image> img = texture->get_image();
	ERR_FAIL_COND_MSG(img.is_null(), "Cannot get an image from a viewport texture of the editor main screen.");
	Error error = img->save_png(p_path);
	ERR_FAIL_COND_MSG(error != OK, "Cannot save screenshot to file '" + p_path + "'.");
}
void EditorNode::_tool_menu_option(int p_idx) {