N2923N is an N-registered aircraft so there are a number of FAA requirements with regards to licensing.
If you have an existing standalone FAA pilot certificate then you’re fine to fly. If not then you need to get one based on your UK license under CFR Part 61.75.
You can fly an N-reg aircraft in the UK (and the Channel Islands) using the privileges of your UK CAA license, however you cannot fly in French airspace.
Getting an FAA certificate based on the basis of your UK CAA license is a fairly straightforward paperwork process, however since Covid you now need to travel to the US to meet with a Designated Pilot Examiner (FAA) to complete the process.
Additionally, if you want to make use of your UK CAA instrument rating, you need to do a “Instrument Foreign Pilot (IFP)” knowledge test, and this can only be done in the US.
For more information on the process, see the following FAA link:
https://www.faa.gov/faq/i-am-foreign-pilot-how-do-i-get-us-license-certificate-instrument-rating