I'd put on 2 new tyres, and carry the least worn of the current tyres (i.e. the front one) as a spare.
New tyres significantly reduce the chances of punctures, and you can always put the old tyres back on when you get home.
Another point is that mountains and luggage can result in significantly faster wear, especially on the rear, than at home.
Comment;
Rear tyres tend to wear square, flat across the middle of the tread, and putting a squared off tyre on the front will have a noticeably adverse effect on the handling of the bike.