### Godot version

v4.1.rc1.official [1f9e540f1]

### System information

Windows 10

### Issue description

Attempting to reorder the children of a TabContainer results in an unintended ordering and incorrect undo states.

Also happens in v4.0.3.stable.official [5222a99f5].

https://github.com/godotengine/godot/assets/3820082/2c2458e3-88ad-46d9-8a04-f289a049984a



### Steps to reproduce

1. Add a new TabContainer
2. Add a few children to it
3. Drag and drop to erroneously reorder them
4. Attempt to undo the change

### Minimal reproduction project

N/A
ERR_THREAD_GUARD
	if (data.process_mode == p_mode) {
		return;
	}
	if (!is_inside_tree()) {
		data.process_mode = p_mode;
		return;
	}
	bool prev_can_process = can_process();
	bool prev_enabled = _is_enabled();
	if (p_mode == PROCESS_MODE_INHERIT) {
		if (data.parent) {
			data.process_owner = data.parent->data.process_owner;
		} else {
			ERR_FAIL_MSG("The root node can't be set to Inherit process mode.");
		}
	} else {
		data.process_owner = this;
	}
	data.process_mode = p_mode;
	bool next_can_process = can_process();
	bool next_enabled = _is_enabled();
	int pause_notification = 0;
	if (prev_can_process && !next_can_process) {
		pause_notification = NOTIFICATION_PAUSED;
	} else if (!prev_can_process && next_can_process) {
		pause_notification = NOTIFICATION_UNPAUSED;
	}