My flights were for me and my kids. Total of €2700. One of the flights was booked separately (because booking together didn't work on any of the websites I tried), though also American Airlines, and I won't get a refund on that. The €1200 that I'll get will only cover the extra missed flight, and my Airbnb. And that doesn't scratch that I had to find new summer vacation plans with my kids on one day's notice. That is not no worries.
Look, I am sorry this happened, but you should get the total 2700 EUR back + compensation.
"though also American Airlines, and I won't get a refund on that" <-- you should double check this, if one of the airports is in the EU you get everything back for your departure flight.
https://realworldmachine.com/travel/airline/eu-flight-compen...
"Flights must either arrive into the EU via an EU-headquartered airline or originate from the EU (regardless of airline headquarters) for the EU Flight Compensation Regulation to be applicable."
Obviously they will tell you otherwise.
Funny how people call me privileged etc. but you literally fill out a web form with flight number, upload your tickets and the solicitors handle the rest and the money gets dropped into your account within 6 months or so.
It's a lot of money, of course the Airlines are going to try to wiggle themselves out of it, so you have to fight them to get your right.
I think you will get 2700 EUR back for sure, flight compensation as well and you might even be able to claim for the BnB.