An option I would recommend is to look for night clubs. Pharmacies will setup tents outside of them for quick testing in order for those without the pass to enter. It’s the same test you would get anywhere and you will have the results in 15 mins. The QR code you receive (printed or via SMS) will be valid for 48hrs.

The things is how “late” you want to get tested? Most night clubs only open after midnight, so that is extra late. Many pharmacies will still be open into the evening. Best would be to ask your hotel when you check in.