Hi
You are correct. You pay income tax when the shares vest. If you retain the share and dispose of them at a later date, you may be subject to capital gains tax on the difference.
You have one year after the due date of your tax return to amend it (e.g. 2022 to 2023 return can be amended up to 31 January 2025).
Once the date for amendments has passed, you will need to submit an overpayment relief claim OPR).
There is a specific format for OPR claims, that must be followed. Please have a look at the guidance at
SACM12150 - Overpayment relief: Form of claims.
Thank you