### 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
}
	if (editor_plugin_screen) {
		editor_plugin_screen->make_visible(false);
	}
	editor_plugin_screen = new_editor;
	editor_plugin_screen->make_visible(true);
	editor_plugin_screen->selected_notify();
	int plugin_count = editor_data.get_editor_plugin_count();
	for (int i = 0; i < plugin_count; i++) {
		editor_data.get_editor_plugin(i)->notify_main_screen_changed(editor_plugin_screen->get_name());
	}
	if (EDITOR_GET("interface/editor/separate_distraction_mode")) {
		if (p_which == EDITOR_SCRIPT) {
			set_distraction_free_mode(script_distraction_free);
		} else {
			set_distraction_free_mode(scene_distraction_free);
		}
	}
}
void EditorNode::select_editor_by_name(const String &p_name) {
	ERR_FAIL_COND(p_name.is_empty());
	for (int i = 0; i < main_editor_buttons.size(); i++) {
		if (main_editor_buttons[i]->get_text() == p_name) {
			editor_select(i);
			return;
		}
	}
	ERR_FAIL_MSG("The editor name '" + p_name + "' was not found.");
}
void EditorNode::add_editor_plugin(EditorPlugin *p_editor, bool p_config_changed) {