If your notice does not reflect your current address, it is likely because the address information is based on your last return filed. To update your address, follow these steps:
If you filed a joint return and now have separate addresses, each spouse should notify the IRS of their new, separate addresses. Authorized representatives filing a form or written statement to change an address for a taxpayer must attach a copy of their power of attorney or Form 2848, Power of Attorney and Declaration of Representative. Unauthorized third parties cannot change a taxpayer's address.
Additionally, changes of address through the U.S. Postal Service (USPS) may update your address of record on file with the IRS based on what they retain in their National Change of Address (NCOA) database. However, not all post offices forward government checks, so you should still notify the IRS directly.
Sources:
Publication 1220 (9/2023)
Publication 4164 (10/2023)
Publication 17 (2023)
IRM Part 3. Submission Processing. Chapter 42. Electronic Tax Administration. Section 9. IRS e-file of Information Returns
IRM Part 3. Submission Processing. Chapter 14. Notice Review. Section 1. IMF Notice Review