Remember that most card draws are optional, including Fleet of Foot and the end-of-turn draw; TLT's power is not optional. I think it's worth that small amount of damage to keep Omnitron on this side.
Sentinels should be able to take care of the EPE, which leaves two Assualt Drones and the Repair Drone, which isn't too bad
Omni is also losing the top card of the deck
Team Leader Tachyon
HP: 12
Hand: Pushing the Limits, Lightspeed Barrage (x2), Accelerated Assault, Fleet of Foot, Blinding Speed
In Play: (none)
Start: (none)
Play: Pushing the Limits - Tachyon may play an additional card during Play Phase and draw an additional card during Draw Phase
Blinding Speed - Destroy Training Room environment card
Power: Team Leader - each player draws 1 card; draw Hypersonic Assault and take one damage [11] from Interpolation Beam
Draw: Synaptic Interruption and Synaptic Interruption - take 1 and 1 damage [9] from Interpolation Beam
End: (none)
====
Burst Cards in Trash: 3
Effects:
At the Start of Tachyon's turn she may deal herself 2 sonic damage. If she takes no damage this way destroy Pushing the Limits (Pushing the Limits)
Tachyon may play an additional card in her Play Phase and draw an additional card in her Draw Phase (Pushing the Limits)
HP: 9
Hand: Lightspeed Barrage (x2), Accelerated Assault, Fleet of Foot, Hypersonic Assault, Synaptic Interruption (x2)
In Play: Pushing the Limits
Trash: HUD Goggles, Supersonic Response (b), Accelerated Assault (b), Hypersonic Result, Blinding Speed (b)
Bottom of Deck: Lightning Reflexes, Sonic Vortex
Top of Deck: Unknown
(HP to 8 and add Lightning Reflexes to Hand due to Setback doing Turn of Events.)
I'm doing my turn with the assumption TLT is not using her power
These are the current targets if that helps
Repair Drone [4]
Assault Drone # 1 [3]
Assault Drone # 2 [4]
the EPE was taken out on the Sentinels turn and the other Assault Drone was taken out by KNYFE. Parse hit what is now Assault Drone #1
Do we want to just kill the first Assualt Drone? ALternately, we have just enough damage to kill the repair drone. I do want to mention that the top card of Omni's deck still needs to be discarded
I say we kill the assault drone. It’s easier to deal a little extra damage than to heal from having taken it.
If we need the 1 point of damage to kill something Idealist will do that with the power use from Setback. Otherwise, The Sentinels will turn on their DR.
We should be good as I will Energy Lance the Assault Drone for 2 (1). Parse should be able to kill it
Um... TLT did use her power. I was under the impression that the others did not mind taking 1 HP damage for drawing an extra card.
TLT also took out the Training Room environment card.
I meant for Turn of Events. If we still want to draw off that as well I can edit my turn.
Parse draws Updated Intel from TLT's power use on her turn (taking 1 damage to 13), and indeed uses Pinpoint Shot to finish off the Assault Drone.
I could go either way on another Team Leader draw--it would be good for Parse herself, but might possibly not be worth it for the team.
The Sentinels have Mainstay’s DR, so they wouldn’t mind.
I'm fine with TLT using her power. It's Oaktree's choice but I'll need to modify my turn if we do draw.
Ah. Now I understand. 
OK. TLT will do Team Leader due to Setback - draw Lightning Reflexes and lose 1 HP [8] due to Interpolation Beam.
Updated Setback's turn to reflect power plays from other heroes. So we are down to one assault drone and a repair drone in play. Still need top card of Villain deck discarded because of the Wrecking Uppercut by KNYFE
Parse draws Segmentation Fault and loses another HP (12). Current hand: Gauge, Recompile (x2), Data-Mining, Between the Lines, Updated Intel, Buffer Overflow, Segmentation Fault
Getting rid of the Training Simulator would also help for when that other Terraforming pops up here in a little bit. This is probably the worst possible environment for those things. I will also be away from the computer most of the day. For now, though, here's The Sentinels' simplified turn so things can continue moving. I'll come back and properly format it when I'm no longer on mobile. Play phase: Mainstay punches the EPE for 3 [4] and his buddy Writhe emerges from the shadows to Fling it the rest of the way into Darkness [X_X]. Power phase: Medico heals Mainstay for 3 HP [13]. That way he'll be tied for highest once everyone else draws a card so he can start tanking (and cross his fingers against a Singularity).
The Sentinels; Round 4, Start of Turn
The Idealist: 11
Dr. Medico: 13
Writhe: 14
Mainstay: 14
Hand: Sentinels Tactics, Aura of Vision, Dark Delusions, Second Chance, Blackout, Fling into Darkness, Good Hero-Bad Hero, Coordinated Assault,Restorative Burst, Human Shield, Unique Capabilities
In Play: Durasteel Chains
Trash: Unique Capabilities, Team Communications, Hippocratic Oath
Top of Deck: ?
Bottom of Deck: Caliginous Form, Horrifying Dichotomy
===================================================================
Start of Turn: --
Play: Fling into Darkness: Mainstay deals theEPE 3 [4] and Writhe destroys it [X]
Power: M.D.: Heal Mainstay for 3 [13]
Draw: Telekinetic Wallop
End of Turn: --
===================================================================
The Sentinels; Round 4, End of Turn
The Idealist: 11
Dr. Medico: 13
Writhe: 14
Mainstay: 14
Hand: Sentinels Tactics, Aura of Vision, Dark Delusions, Second Chance, Blackout, Good Hero-Bad Hero, Coordinated Assault, Restorative Burst, Human Shield, Unique Capabilities, Telekinetic Wallop
In Play: Durasteel Chains
Trash: Unique Capabilities, Team Communications, Hippocratic Oath, Fling into Darkness
Top of Deck: ?
Bottom of Deck: Caliginous Form, Horrifying Dichotomy
Additional Effects: Reduce Damage dealt to Mainstay by 1. Increase damage dealt by Mainstay by 1.
===================================================================
[Edit to include Tachyon & Setback's turns]
The Sentinels; Round 4, Start of Environment Turn
The Idealist: 11
Dr. Medico: 13
Writhe: 14
Mainstay: 14
Hand: Sentinels Tactics, Aura of Vision, Dark Delusions, Second Chance, Blackout, Good Hero-Bad Hero, Coordinated Assault, Restorative Burst, Human Shield, Unique Capabilities, Telekinetic Wallop, Team Communications, Positive Energy
In Play: Durasteel Chains
Trash: Unique Capabilities, Team Communications, Hippocratic Oath, Fling into Darkness
Top of Deck: ?
Bottom of Deck: Caliginous Form, Horrifying Dichotomy
Additional Effects: Reduce damage dealt to The Sentinels by 1. Reduce Damage dealt to Mainstay by 1. Increase damage dealt by Mainstay by 1.