My question involves estate proceedings in the state of: New York

My parents divorced over 30 years ago when I was a child. I have not been in contact with my biological father since. I know he lives in the area.

When he dies, if he has no will, I assume I'd be a beneficiary of his estate, along with my two other siblings. Perhaps my mother also/instead.

How will I know when he dies? Will someone from the state contact me? I assume they have some database showing he's my biological father and I'm still alive. Right?
Should I be concerned that the executor of the will or administrator (if there is no will) may not try hard enough to locate me?

Thanks
Ion