### 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
}
	SceneState::set_disable_placeholders(true);
	ResourceLoader::clear_translation_remaps(); 
	ResourceLoader::clear_path_remaps();
	ResourceLoader::set_create_missing_resources_if_class_unavailable(true);
	EditorPropertyNameProcessor *epnp = memnew(EditorPropertyNameProcessor);
	add_child(epnp);
	EditorUndoRedoManager::get_singleton()->connect("version_changed", callable_mp(this, &EditorNode::_update_undo_redo_allowed));
	EditorUndoRedoManager::get_singleton()->connect("history_changed", callable_mp(this, &EditorNode::_update_undo_redo_allowed));
	ProjectSettings::get_singleton()->connect("settings_changed", callable_mp(this, &EditorNode::_update_from_settings));
	GDExtensionManager::get_singleton()->connect("extensions_reloaded", callable_mp(this, &EditorNode::_gdextensions_reloaded));
	TranslationServer::get_singleton()->set_enabled(false);
	
	if (!EditorSettings::get_singleton()) {
		EditorSettings::create();
	}
	FileAccess::set_backup_save(EDITOR_GET("filesystem/on_save/safe_save_on_backup_then_rename"));
	
	surface_upgrade_tool = memnew(SurfaceUpgradeTool);
	run_surface_upgrade_tool = EditorSettings::get_singleton()->get_project_metadata("surface_upgrade_tool", "run_on_restart", false);
	if (run_surface_upgrade_tool) {
		SurfaceUpgradeTool::get_singleton()->begin_upgrade();
	}
	{
		int display_scale = EDITOR_GET("interface/editor/display_scale");
		switch (display_scale) {
			case 0:
				
				EditorScale::set_scale(EditorSettings::get_singleton()->get_auto_display_scale());
				break;