Keep in mind you're talking about a local municipality which is going to receive a large chunk of its revenue from property taxes, fees, sales tax etc. From https://www.ibo.nyc.ny.us/iboreports/understandingthebudget....
The breakdown is:
29% Property Tax
17% State Grants
13% Personal Income Tax
10% Federal Grants
8% General Sales Tax
8% Fees and Fines (Non-Tax)
7% Business Income Tax
4% RE Taxes
4% Other Taxes
Some of these will hit the wealthy more than others (eg: Biz and Personal Income Taxes) but revenues aren't going to drop by 71-72%. I know in America taxes are super taboo but there's also nothing wrong with raising taxes on the rest of the city to cover any gap.