Assuming that you were covered by a family HDHP for 5 months (coverage is determined on the 1st day of each month) and a single HDHP for the other 7 months, your contribution limit for 2025 would be
$8550 ÷ 12 x 5 months = $3562.50
$4300 ÷ 12 x 7 month = $2508.33
For a total of $6060.83 ($6061 since the IRS rounds up).
However, this assumes you have no "other coverage." Having "other coverage" besides the HSA makes you completely ineligible to contribute to an HSA. Other coverage would include, if your spouse has a family plan and you are covered by it, even if it is secondary to your own plan. Other coverage also includes most FSAs (flexible spending accounts) because if your wife took an FSA, it can be used to cover you as well, even if you are not the named insured.
Your coverage controls your contributions, not your wife's coverage (except for the disqualification due to other coverage). For example, if your wife enrolled in her new job's insurance effective June 1, but your HDHP coverage did not change over to single until June 15, then your limit would be $6425, because your eligibility is determined by your coverage on the first day of each month.
