The former archeological museum stands close to the statue of Saint Nino, and they both are in a state of decay. The day of my visit there was heavy rain and the place was totally unguarded, though I didn't venture inside it for a matter of prudence since I was alone, but it would have definitely be possible (though be advised that it is very likely that you might break the law doing so) . You can find some parked cars nearby, it seems that people come here for some privacy. And they are absolutely right, since the atmosphere is relaxing and the place itself is wild and beautiful with this weird architecture that seems to come far from the past, and ready for you to explore it. One of the few places in Tbilisi that still feels authentic, unlike many others that are subgerged by any sort of extemporary advertisements.
A once beautiful and interesting building. There's no point in going and watching it now. Don't waste your time. Everything is broken around, vegetation breaks through the tiles. I was only pleased with the dog who came running with the guards!