### Godot version

4.2.dev3.official

### System information

Godot v4.2.dev3 - Windows 10.0.19045 - GLES3 (Compatibility)

### Issue description

The toggle button "Show Built-In Actions" in the "Input Map" tab of the Project Settings window does not keep its ON state after restarting the editor - it always resets to being OFF.

This is different than the behaviour of the "Advanced Settings" toggle button in the "General" tab of the Project Settings - this one does keep its state between editor restarts.

I'm not sure if what I am reporting is an issue or the intended behaviour.

### Steps to reproduce

1. Create a new project.
2. Go to Project -> Project Settings -> Input Map and toggle "Show Built-In Actions" button to ON.
3. Restart the Godot editor.
4. Check if the setting was kept or changed.

### Minimal reproduction project

N/A
continue;
			} else if (i == target_index) {
				
				if (drop_above) {
					new_events.push_back(events[current_index]);
					new_events.push_back(events[target_index]);
				} else {
					new_events.push_back(events[target_index]);
					new_events.push_back(events[current_index]);
				}
			} else {
				new_events.push_back(events[i]);
			}
		}
		new_action["events"] = new_events;
		emit_signal(SNAME("action_edited"), selected->get_parent()->get_meta("__name"), new_action);
	}
}
void ActionMapEditor::_notification(int p_what) {
	switch (p_what) {
		case NOTIFICATION_ENTER_TREE:
		case NOTIFICATION_THEME_CHANGED: {
			action_list_search->set_right_icon(get_theme_icon(SNAME("Search"), SNAME("EditorIcons")));
			if (!actions_cache.is_empty()) {
				update_action_list();
			}
		} break;
	}
}
void ActionMapEditor::_bind_methods() {