If both of you were covered by Medicare Part A for all of 2023, neither of you is eligible to contribute to an HSA for 2023. Being covered by Medicare also makes you ineligible to contribute to an HSA in the future.
However, I question that, having turned age 65 mid-year, you were covered by Medicare Part A the entire year because unless disabled or you have end-stage renal disease your Medicare coverage would have started on the first of the month that contained your 65th birthday. You would be eligible to contribute to an HSA for the months in 2023 prior to that.
