### 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 (InspectorDock::get_inspector_singleton()) {
		InspectorDock::get_inspector_singleton()->update_tree();
	}
}
void EditorNode::_editor_select_next() {
	int editor = _get_current_main_editor();
	do {
		if (editor == editor_table.size() - 1) {
			editor = 0;
		} else {
			editor++;
		}
	} while (!main_editor_buttons[editor]->is_visible());
	editor_select(editor);
}
void EditorNode::_open_command_palette() {
	command_palette->open_popup();
}
void EditorNode::_editor_select_prev() {
	int editor = _get_current_main_editor();
	do {
		if (editor == 0) {
			editor = editor_table.size() - 1;
		} else {
			editor--;
		}
	} while (!main_editor_buttons[editor]->is_visible());
	editor_select(editor);
}
Error EditorNode::load_resource(const String &p_resource, bool p_ignore_broken_deps) {