If you're willing to assume 100% applicability, then Battlemaster 3rd, Arcane Trickster 8th, Sentinel, Magic Initiate, ASI, Dueling w. Rapier. Fights alongside an ally. Precision on 1-4.
Stacks GFB and Hex for about 65*/turn. Total 1566 over 24 rounds.
(Level 11, no magic items, PHB and SCAG only.)
*Action Surge twice for about +78 overall.
How are you getting the same hex in all combats if (I assume) you get it from magic initiate so are only good for 1 hour (maybe 2 combats).
I am counting 4d6(21) Sneak, 1d8+7(11.5) rapier, 2d8(9) From GFB, 2d8+3(12)? to another target +1d6(3.5) from hex is 57 a turn. But that is assuming you get hex every single round, which is not possible as you are getting 2 rests, which each take an hour and therefore end Hex from Magic initiate (level 1 lasts 1 hour)
EDIT:OK I am seeing now that sentinel feat is assuming you get to smack someone every single reaction.
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