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junction box
The more I read, the more this looks like the easiest and cheapest solution.
I seem to have a million and one other projects stacking up, plus work, plus a toddler. Plus with C19 and WFH I'm loathed to cause any damage which will require calling people out.
Today our boiler sprang a leak for the 2nd time, so also having to organise the emergency callout stuff on that. Definitely glad we paid the extra £30 or whatever it was for that!
Probably best just to use a junction box to extend the cable to a new socket. It might be wise to check the Zs but that requires a fairly specialised tester.
Not my most useful answer ever! probably worth revisiting in a workday.
If you already have 2 x 2gang sockets it suggests a ring. You can check relatively quickly but its not that easy to explain how.