We live in NYC and have a mentally ill neighbor who has been harassing his elderly next door neighbor for years. The behavior has escalated, and he is now regularly screaming at people in the hallways, breaking things, turning his TV up to full volume for hours, etc. He also posts rambling, vaguely threatening flyers in the elevator and laundry room. The police have been called, both for the noise, and because of damage he's caused to the hallways and to his neighbor's front door, when he pounded on it with a baseball bat.

All of these things are violations of building rules, and he has been taken to court, where the judge ruled that he could be evicted. He was given six months to sell his apartment (it's a co-op, not a rental building) and leave. The six months are up on June 30th. He currently owes thousands of dollars in maintenance fees.

He has appealed the case, but apparently will not now respond to any legal paperwork or phone calls, including from his own lawyer.

We want him out, but we also want to make sure that a social worker has been contacted and is present during (and ideally before) the eviction. He's in no state to find himself another place to live, and we don't want to see him put in danger due to the pandemic.

What happens now? Some of the sources I looked at on the internet seemed to imply that the eviction could happen, even though he has appealed, unless the judge has issued a stay. Is that true? What happens to the appeal if our neighbor never contacts his lawyer? New York's eviction moratorium expires this summer--will the sheriff show up and put him out on the street? Does the building have to enforce the eviction, or does it happen automatically? And is there a way to obtain mental health services for him if he can't/won't ask for them (or possibly even comply with them)?

Thanks in advance!