I have one of those houses. My taxes per month are what one of may daughters paid for rent on a 2 bedroom apartment.
Worst part is, as far as NYS goes, new buyers /title holders are really, really screwed since changes to the STAR program means new title holders have to float the state a loan. Instead of a school tax discount, it’s now a “rebate”. Snort. Move to NYS at your peril.