Since you received the reimbursement in 2022, it may need to be included as part of your 2022 tax return. Even though the reimbursement is for 2021, you should not enter it as part of your 2021 return.
If your 2021 return includes a deduction for medical expenses as a result of claiming the amount you paid for the 2021 Medicare Part B premiums, then the reimbursement may be considered to be income for 2022. If you do not receive a tax benefit by deducting medical expenses on your 2021 return, then you will not need to account for the reimbursement on your 2022 return at all.
Take a look at the following TurboTax article for more information and an example to better explain the situation:
Do I need to report medical expense reimbursements?
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