Yes, wait until you receive your refund to submit an Amended Return. An amendment will not 'catch up' to your original return and correct it. They are processed separately, and can take 12-16 weeks to process.
If you owe money as a result of the correction, you should include a check or money order with your 1040-X submission.
You can pay the balance you owe online, using Direct Pay or the Electronic Federal Tax Payment System (EFTPS) to avoid/reduce penalties.
Here's more info on Amending a 2021 Return and about Tax Penalties.
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