The FO community is in a bit of a race at the moment to see who can be the first to solo the entire raid with a pure FO team. So far... still screwed by either phase 1 or phase 2 depending on the team. The whole raid has been soloed a few times by different people using KRU, FOO, FOX, BB8 and Thrawn and at least once with KRU, FOO, Kylo, FOX, Thrawn.
Obviously that info is no use to you because we are talking g12/g13 and multiple relic levels on FOX.
But the best "FO" team by a long way for HAAT at lower levels is KRU, FOO, FOX, BB8, Thrawn. Once you have this team around g11 average you should be able to get from 30% left in phase 2 all the way to the end of the raid. Otherwise, KRU, FOO, FOX, FOST, Thrawn can do the same https://www.youtube.com/watch?v=8trnA-TM0e4&t=299s
Right now at your level and characters you will probably get the best damage in phase 2. Absolutely don't bother with phase 1. Phase 3 will be pretty difficult without thrawn as a 5th on the team. Phase 4 would also be okay so long as you include a character than can apply a buff to your whole team.