Popping my head up again, after going through both forward and backwards. Hard to say what is what without clarification, though... @everyone, will you check I've not missed a change-of-claim?
Fish is saying his "blanked" specification is "lynched by day (unknown)". If that stands for both TDS and Shak then realistically I'd expect that either a D1 lynch of Shak (despite Shak saying that no lynches should occur then, and had the skills to prevent it) and D2 lynch of TDS ('on time') would fulfill those two apparent Jesters' conditions and would apparently prevent all Paradoxen.
TDS has vote-changing power which apparently does not act upon non-voters (maybe/maybe not NoLynch voters, not yet tested). And as Shak gained some skill N1, will (or would have?) TDS have gained an equivalent skill N2, automatically, or was that someone's doing? (Might be explicable as the N0 visitor of mine, who gave me nothing because I wasn't the 'right sort' to be given it, in which case it depends upon the same person going for TDS, if still alive, N2, to repeat this...)
Hector has D3 on repeat, but not sure what use that is. Perhaps it was an error to choose D3 when two D2 lynches should have been made, or maybe it's the fault of the agency (EP?) that chose D2 for both clones?
EP did create both clones, yes? Of the original Fish? But thinks Fish is scum, at least now..?
My conclusion at the moment is that the carefully crafted balance of powers have come together to create this situation of unwinability, Tomasque powerless to stop (even if he wanted!) a Town Loss. But there's a possibility for success, still...
EP mentioned in passing that a number of paradoxes may need to happen to trigger defeat. What if that's three paradoxes, across the four days (inclusive of Hector's repeat day)? By seeing the roleflip of one paradox-causer/denier, we get a handle on the paradox-beneficiary's (or "all town lose!"1) actual tools to do so. A second paradox (in leiu of trapping the true evil?) shows us the way, and we can avoid a third paradox from happening.
Whether that's by autolynching the new guy who shows up on the morning of D3 (and the next D3 too?) or specifcally by not lynching them. Whatever comes out as true.
I don't think I can do anything about TDS/Shak Lynch/Notlynch situation (I can stop things, but only before they happen irrevocably, and for all I know this is the best of a bad set of solutions), but I don't think it means I can't use D2 dusk's info to be useful on D3. Either of them. If that's even true.
Right?
1 I don't think it is that, given it would be repetition...