They do but they have a limit for weight that’s usually 20pounds and she’s already 22 pounds so that won’t work for us. When she was 4mo we used the bassinet for the same flight destination and it was awesome.
I don’t think it would be possible for her to sleep on you with one seat :( I can’t think of a way that would work on the one seat while you’re also pregnant so she shouldn’t be laying on your belly for extended periods
For sleeping on you with belly maybe a compact nursing pillow like BBHugMe would help? It ties around you so can be secure. I found one on Vinted for my upcoming travel, my son is younger but having tried it out I think it could be useful
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I've heard of airlines providing bassinets for babies but I am not totally sure. I suggest contacting the airline to ask. I suggest bringing snacks and activities to keep her busy. Maybe even a couple new small toys would help?