It’s subject to the manager’s and Facrep’s reference, but you could get a level or two up.
I went from a 6 tower to an 11 tower, made it through ground and 1 of 3 LC positions, and my nest list on withdrawal was level 7 towers and below. Another CPC-IT who stuck it out for 2/3 LC positions then withdrew got level 8 towers and below. That’s before the “punishment” for withdrawing started, though.