I have now been reading the original text as if I own a restaurant in the French Saint-Martin. I read that the penalties could become severe and I must download a verification mobile phone application called “TAC Verif” to control all restaurant guests when entering.

However, even though all EU countries are gathered in the huge database that “TAC Verif” checks, I guess it will not communicate with any database in the US.
In addition, it seems like the states in the US does not have one huge database, but different databases for different states - and some states have no digital verification possibility at all.

So, do you all agree? If you are coming from the US, do not hope that a digital verification via mobile phones will work when entering a restaurant. The best, perhaps “the only proof” that has a chance to work is your physical paper-based “CDC Covid-19 Vaccination Record Card”!

Kindly, Lars