Arian,
Sadly I am in a similar situation but not exactly. I purchased a 2 family in Worcester where I was told the tenants were on Section 8, turns out it was RAFT(covid aid) through RCAP. RCAP continued to pay the original owner (as they have limited ability to change anything) and i would get the checks a month or so later. No one could produce any paperwork. When that ran out they applied to RCAP again, which took more months. Just so you are aware, I have been made whole, or actually will be, according to RCAP and a couple more checks keep coming.
Since I have received the money from the government (the tenants have paid me 50% rent for a couple months) and at this point I am whole you would think I would advocate letting the government program play its course. However, I sadly am in the camp of the others above. I am tired. I am tired of trying to get my tenants to pay. I am tired of waiting for RAFT to pay and figure out that I am the owner, and send me random checks for the wrong amount with no indication of what month they are paying for. Simply tired.
I can't wait until spring to end things and try to start over with new tenants. At this point I just want to start over.
The key decision here is if you want this person as a tenant, and if you think you can get a better one. Short term pain of a couple lost months may be better than dragging things out for 6-12 months if the result may ultimately be the same.
Best of luck on your choice.