I can't give you an exact amount that you can withdraw from your deferred comp account before you incur an alternative minimum tax (AMT) without knowing everything about your tax situation. However, your income is above the AMT standard deduction for a single person, which is $75,900 for 2022, so you are correct to be concerned about it.
The AMT is often associated with individuals who itemize deductions, which you don't, so that is a good thing. Also, capital gains and depreciation issues can trigger an AMT. The sale or exercise of qualified stock options can trigger AMT as well, but I can't tell from your question if your deferred compensation involves this.
The best thing to do would be to prepare your tax return in TurboTax and add in the income from your anticipated deferred compensation withdrawal and see what if any affect it has on your AMT.