You weren't scammed - at least not by anyone but Starlink/SpaceX. They're just that poorly set up.
You may already know this, but the entity you made payment to is:
Starlink Internet Services Limited
5th Floor, Beaux Lane House, Mercer Street Lower, Dublin 2 D02 DH60
Registered with the Company Registration Office under No. 677409
Lauren Dreyer is listed as the Director: https://www.linkedin.com/in/lauren-d-8077b594/
Her email address: edit - removed now that OP has seen it