Thanks to the guys and Yandex))
A flat tire, thanks to Yandex.Navigator, they found this tire, the guys checked the wheel, pumped it up, "gave a guarantee" and took only 10 GEL. By the way, we then drove around Batumi and the suburbs, then returned to Tbilisi. And until the end of our trip, we didn't remember about the wheel.
They helped with the problem quickly enough, the tire was flattened. The disk was promptly made and corrected. They helped me out!
But we arrived in the morning and the guys didn't work, it doesn't look like a 24/7 service, keep in mind. It is better to call in advance, the owner speaks Russian well.