Your pension rate will not be frozen.

From the UK Government website:

https://www.gov.uk/government/public...-state-pension

If you live in one of the following countries and receive a UK State Pension, you will usually get an increase in your pension every year:
  • ....
  • North Macedonia
  • the Philippines
  • Serbia
  • ....
All the official information is on that page, perhaps other board members can advise on the practicalities.