Fully vaccinated Americans, resident in the US, allowed in for non-essential purposes now

For people asking previously about visiting, the list of equivalent vaccine certificates seems to have been updated –
https://guichet.public.lu/en/actualites/2020/aout/11-nouvelles-mesures-entree-ressortissant-tiers.html . But you might have to argue with the checkin staff – It took me half an hour to convince BA agent in London a few days ago that my NHS cert meant I didn’t need a covid test. BA hadn’t updated their internal guidelines (neither had Timatic) even though the Luxembourg published rules for UK had changed 10 days prior.