As of 1st August 2022, all overseas visitors are no longer required to register with the police even if your visa or Biometric Residence Permit (BRP) advises you to do so
You can find out more information on the Police Registration Scheme Public Notice - August 2022.
Updating UK Visas and Immigration (UKVI) of a change of circumstance
If you already hold a police registration certificate, you will no longer be required to update the police with any changes to your address or your passport or visa for example. However, you must inform UK Visas and Immigration (UKVI) of any changes in your circumstances such as a change of address or change of nationality. You can do this online here.
The UK Council for International Student Affairs (UKCISA) also have guidance on reporting a change of circumstance here.