If i wanted a good estimate, i would fill out the lh calculator with the taxes set to 9% and select NY taxation. I would take note of the calculated taxes in the deal summary.
I would then add that tax amount to the gov fee amount and re-run with 9.5% as the tax rate and select monthly tax state.
It wont be perfect, but it’ll get you close enough to realize you shouldnt ever lease if you live in Chicago.