and those "big" siege engines plus you need a lvl 1 gov for the (two)highest level gymnasion(s) afaik.

most people(actually everyone but you can never be sure) knows how useless the larger catapults are so even if you build asecond lvl 1 gov(I built one in kydonia) do NOT build that barrack^^
the higher level gymnasion could be usefull but more of an extra build option once the city is "done"

so keep athens democratic, let your governors study at the academy and buy an extra army/fleet somewhere.