OK, here it is.
Round 1:
Ermine: Chrono-Ranger discards Danny-Boy, Sky-Scraper discards Undetectable Relinking, Tempest discards Into the Stratosphere (because O-X is blowing up the Ongoings anyway), and O-X discards Reactive Plating Subroutine.
Chrono-Ranger plays Terrible Tech-Strike, dealing 2 to Ermine and 1+1 to Fright Train. Uses base power on Friction.
Proletariat does his thing.
Sky-Scraper plays Neutralizing Resonator on Fright Train, then uses her base power.
Fright Train does his thing.
Tempest plays Gene-Bound Shackles and uses his base power. Order / decisions matter a little; you can shoot yourself out of 1 damage to a Proletariat clone if you choose poorly. Basically, hit one clone (say "no"), hit the other clone, then hit Proletariat and say "no" again.
Friction does her thing.
Omnitron-X uses Sedative Flechettes and destroys Constant Prattle and Defensive Formation. Again, the damage order matters a little with Proletariat and clones. Hit the 5 HP clone, then Proletariat himself, then it doesn't matter anymore. Use base power on Tempest, put Grievous Hailstorm into play.
Silver Gulch plays Sustain the Portal. Do not discard, everything takes 2. Kill the Proletariat clones first.
Round 2:
Ermine does her thing.
Chrono Ranger plays Just Doin' My Job, which discards Ranger's Mark, Micro-Assembler, Shielding Winds, and Defensive Blast. CR pings Fright Train with JDMJ's damage, then uses base power on Fright Train.
Proletariat does his painful thing.
Sky-Scraper destroys Everyman's Strength with Neutralizing Resonator, plays Tectonic Chokeslam on the Shock Dampeners, and uses base power.
Fright Train does his thing.
Tempest plays Chain Lightning. Friction for 6, Fright Train for 6, Ermine for 4. Then, Grievous Hailstorm on Proletariat, Ermine, Friction, Crackjaw Crew, and Fright Train, in that order, to hit them all for 4.
Friction does her thing.
Omnitron-X plays reset and pulls Singularity. Plays Singularity, blows up Gene Bound Shackles. Use base power on Chrono-Ranger, Sudden Contract pulls By Any Means and puts it on Proletariat, pings Proletariat.
Silver Gulch plays Sustain the Portal again.
Round 3:
Ermine does her thing. I put Hailstorm back.
Chrono Ranger plays Eye on the Prize and pings Ermine, then draws The Whole Gang, playing it on Fright Train. Base power on FT, TWG destroys Proletariat.
Proletariat does his incap thing.
Sky-Scraper uses Tectonic Chokeslam and uses her base power to end the game.