u/Green-Impression1908

I currently have a JetBlue master card that I use on most of my purchases, therefore have lots of True Blue points. However, I have been thinking, and I want to switch to a credit card that has more flexibility with which airlines I can use, but I also want to be able to book directly through the airline so that in case there are any issues I don’t get faced with “oh, you booked with a third party, so we can’t help you”. Does such a card exist? My bank is Chase if that helps, but I am open to using other bank’s credit cards as well for this need.