Distributions from the HSA have no bearing on the amount that you are eligible to contribute. The limit is on how much you put in for the year and is unaffected by any amount that you spend on medical expenses. If your combined contributions already exceed the annual limit by $2k, you already have a $2k excess contribution that is subject to penalty unless corrected by a return of excess contribution by the due date of the corresponding year's tax return, including extensions, and you are ineligible to contribute any more for that year, 2024 in this case.
