### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
InspectorDock::get_inspector_singleton()->update_tree();
}
void EditorNode::_select_default_main_screen_plugin() {
	if (EDITOR_3D < main_editor_buttons.size() && main_editor_buttons[EDITOR_3D]->is_visible()) {
		
		editor_select(EDITOR_3D);
		return;
	}
	
	
	for (int i = 0; i < main_editor_buttons.size(); i++) {
		Button *editor_button = main_editor_buttons[i];
		if (editor_button->is_visible()) {
			editor_select(i);
			return;
		}
	}
	editor_select(-1);
}
void EditorNode::_update_theme(bool p_skip_creation) {
	if (!p_skip_creation) {
		theme = create_custom_theme(theme);
		DisplayServer::set_early_window_clear_color_override(true, theme->get_color(SNAME("background"), EditorStringName(Editor)));
	}
	List<Ref<Theme>> editor_themes;
	editor_themes.push_back(theme);
	editor_themes.push_back(ThemeDB::get_singleton()->get_default_theme());
	ThemeContext *node_tc = ThemeDB::get_singleton()->get_theme_context(this);
	if (node_tc) {