Monthar
Deity
Yes, you can pick a 2nd GS the 2nd time through, but you can't pick a 3rd, because you can only ever pick 1 of a type per cycle.
Cycle 1: GS, GE, GM, HP, GArt, GAdm, GG.
Cycle 2: GS, GE, GM, HP, GArt, GAdm, GG.
Cycle 3: GS, etc, etc.
You can't take a 3rd GS until the 3 cycle. The rule of only one per long count cycle doesn't suddenly go away once you've completed the first long count.
Cycle 1: GS, GE, GM, HP, GArt, GAdm, GG.
Cycle 2: GS, GE, GM, HP, GArt, GAdm, GG.
Cycle 3: GS, etc, etc.
You can't take a 3rd GS until the 3 cycle. The rule of only one per long count cycle doesn't suddenly go away once you've completed the first long count.