A few years ago a super changed the lock, but lost the key.
The landlord now wants a copy of the key, because they need to do repairs and "in case of emergency".
We don't trust the landlord/super to have a key though. They've gone into neighbors' apartments often with no prior (or after) notice, sometimes for approved repairs (you'll know a repair is coming, but not the day or time -- and not any proper notice under nyc laws) but other times for barely a reason ("Oh we wanted to change the smoke detector battery". "oh we wanted to see how old the fridge was"). They also use random people for repairs, and we have serious concerns about theft.
Obviously we need to comply with the law and give a key. I've read about the "keysure" box, but there doesn't seem to be any way to know if the landlord went into the apartment without asking to see the box. Short of giving them the key and getting an internet alarm/camera set up on the door – are there any options?