Ooooohkay. This was not anticipated.

The special fleet has, in all probability, three actions, instead of two. What I am really interested in finding out is if those three actions are 1 major+2 minors or 2 majors + 1 minor (which would mean that we are royally screwed).

Don't forget that there's the FuraZy fleet in Polaris and they are highly likely to hit Sol with a subspace missile barrage. If the InfiFleet can attack twice, this will be, in all probability, enough to kill off at least one defending fleet.
However, I cannot assist Sol in any way, so let's talk about what I should do. Look at me. Back at the DoomStack. Back at me. Sadly, I am not the DoomStack, but I can take a hit from them.
So, here's two things I can do that make sense to me:
A) Attack the Nordera, move to Aqua. This will ensure the Nordera are destroyed this turn and cannot kamikaze at anybody. Please keep in mind that a kamikaze is a
flat 60 damage, no matter how much the Nordies are damaged themselves and that, since our resupply lines are contested,
we need to safeguard our capship strength. 60% damage will essentially put a fleet out of commission until Sol is liberated and resupply once again becomes possible at full efficiency. (Also note that resupplying right now should be avoided, if possible, since it will consume full resources for only a 50% payoff. By resupplying, we are essentially draining the bank.)
B) Double move to Virgo. I will not be able to contribute to any fights this turn, but will be able to mount an assault on the DS
next turn. No barrage, unfortunately.