### 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
if (!p_action_infos.is_empty()) {
		actions_cache = p_action_infos;
	}
	action_tree->clear();
	TreeItem *root = action_tree->create_item();
	for (int i = 0; i < actions_cache.size(); i++) {
		ActionInfo action_info = actions_cache[i];
		const Array events = action_info.action["events"];
		if (!_should_display_action(action_info.name, events)) {
			continue;
		}
		if (!action_info.editable && !show_builtin_actions) {
			continue;
		}
		const Variant deadzone = action_info.action["deadzone"];
		
		TreeItem *action_item = action_tree->create_item(root);
		action_item->set_meta("__action", action_info.action);
		action_item->set_meta("__name", action_info.name);
		
		action_item->set_text(0, action_info.name);
		action_item->set_editable(0, action_info.editable);
		action_item->set_icon(0, action_info.icon);