you could always find an address in a non uk country,apply for your new uk licences to be returned and the same day they come through the post ,just hand over your old one that wont have the dr on it to the non uk country in exchange for your new one…
they take your old one and bin it,your new uk one will have a dr that you can show to plod if asked,and t=your foreign one will be clean…you can get a year out of that before an agency ect will need to see a new one,then just work elsewhere…only if you wanted to though?
you need a foreign address and hop across for a foreign medical.
probably just as easy pre or post brexit before anyone comes up with that one.