### 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
singleton->editor_folding.load_resource_folding(p_resource, p_path);
}
void EditorNode::_feature_profile_changed() {
	Ref<EditorFeatureProfile> profile = feature_profile_manager->get_current_profile();
	
	for (WindowWrapper *wrapper : floating_docks) {
		wrapper->set_window_enabled(false);
	}
	TabContainer *import_tabs = cast_to<TabContainer>(ImportDock::get_singleton()->get_parent());
	TabContainer *node_tabs = cast_to<TabContainer>(NodeDock::get_singleton()->get_parent());
	TabContainer *fs_tabs = cast_to<TabContainer>(FileSystemDock::get_singleton()->get_parent());
	TabContainer *history_tabs = cast_to<TabContainer>(history_dock->get_parent());
	if (profile.is_valid()) {
		node_tabs->set_tab_hidden(node_tabs->get_tab_idx_from_control(NodeDock::get_singleton()), profile->is_feature_disabled(EditorFeatureProfile::FEATURE_NODE_DOCK));
		
		bool fs_dock_disabled = profile->is_feature_disabled(EditorFeatureProfile::FEATURE_FILESYSTEM_DOCK);
		fs_tabs->set_tab_hidden(fs_tabs->get_tab_idx_from_control(FileSystemDock::get_singleton()), fs_dock_disabled);
		import_tabs->set_tab_hidden(import_tabs->get_tab_idx_from_control(ImportDock::get_singleton()), fs_dock_disabled || profile->is_feature_disabled(EditorFeatureProfile::FEATURE_IMPORT_DOCK));
		history_tabs->set_tab_hidden(history_tabs->get_tab_idx_from_control(history_dock), profile->is_feature_disabled(EditorFeatureProfile::FEATURE_HISTORY_DOCK));
		main_editor_buttons[EDITOR_3D]->set_visible(!profile->is_feature_disabled(EditorFeatureProfile::FEATURE_3D));
		main_editor_buttons[EDITOR_SCRIPT]->set_visible(!profile->is_feature_disabled(EditorFeatureProfile::FEATURE_SCRIPT));
		if (AssetLibraryEditorPlugin::is_available()) {
			main_editor_buttons[EDITOR_ASSETLIB]->set_visible(!profile->is_feature_disabled(EditorFeatureProfile::FEATURE_ASSET_LIB));
		}
		if ((profile->is_feature_disabled(EditorFeatureProfile::FEATURE_3D) && singleton->main_editor_buttons[EDITOR_3D]->is_pressed()) ||
				(profile->is_feature_disabled(EditorFeatureProfile::FEATURE_SCRIPT) && singleton->main_editor_buttons[EDITOR_SCRIPT]->is_pressed()) ||
				(AssetLibraryEditorPlugin::is_available() && profile->is_feature_disabled(EditorFeatureProfile::FEATURE_ASSET_LIB) && singleton->main_editor_buttons[EDITOR_ASSETLIB]->is_pressed())) {
			editor_select(EDITOR_2D);
		}