An Amadeus PNR will mean diddly squat in AA’s set-up with Verifly, if anything works it would have to be the Sabre one.

They’re more likely to check you to Paris than London, though I expect they won’t have an issue at all, connecting journeys onto AA must be a daily occurrence in SOF. If it’s because you don’t have a certificate for the US they would be within their rights to refuse you boarding, though I’m sure we’ve had stories here of people who have been allowed to start their journey with a promise to fix themselves later. Sorry, I know that bit isn’t as helpful as you’d hoped.