### 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)

bottom_panel_hb = memnew(HBoxContainer);
	bottom_panel_hb->set_custom_minimum_size(Size2(0, 24 * EDSCALE)); 
	bottom_panel_vb->add_child(bottom_panel_hb);
	bottom_panel_hb_editors = memnew(HBoxContainer);
	bottom_panel_hb_editors->set_h_size_flags(Control::SIZE_EXPAND_FILL);
	bottom_panel_hb->add_child(bottom_panel_hb_editors);
	editor_toaster = memnew(EditorToaster);
	bottom_panel_hb->add_child(editor_toaster);
	VBoxContainer *version_info_vbc = memnew(VBoxContainer);
	bottom_panel_hb->add_child(version_info_vbc);
	
	Control *v_spacer = memnew(Control);
	version_info_vbc->add_child(v_spacer);
	version_btn = memnew(LinkButton);
	version_btn->set_text(VERSION_FULL_CONFIG);
	String hash = String(VERSION_HASH);
	if (hash.length() != 0) {
		hash = " " + vformat("[%s]", hash.left(9));
	}
	
	version_btn->set_meta(META_TEXT_TO_COPY, "v" VERSION_FULL_BUILD + hash);
	
	version_btn->set_self_modulate(Color(1, 1, 1, 0.65));
	version_btn->set_underline_mode(LinkButton::UNDERLINE_MODE_ON_HOVER);
	version_btn->set_tooltip_text(TTR("Click to copy."));
	version_btn->connect("pressed", callable_mp(this, &EditorNode::_version_button_pressed));
	version_info_vbc->add_child(version_btn);
	
	Control *h_spacer = memnew(Control);
	bottom_panel_hb->add_child(h_spacer);