There are two trails that pass by Tandzaver. You can check their respective websites for more info.
Quite well preserved, built in 1705.
It's a 5.5-km trail through a very beautiful forest with some interesting land art exhibits on the way. You can ask locals how to go, find the trail on HIKEArmenia free app or even take a guided tour with one of the organizers of this land art 'museum.' They also organized a land-art festival here in 2019 where several international artists created their lasting works of art that you can see today. Paloma speaks English and Spanish.
Vanand Fortress
There is a very hidden and half-ruined (or maybe just overgrown with vegetation and earth) fortress that you can explore in the area. Since it's a bit hard to find, it's perhaps better to take a local guide with you, especially that it's not far away from the border with Azerbaijan. You can also continue for a few kilometers in the same direction and reach a peaceful reservoir named after Davit Bek.