I'd be happy to give a write up as I've seen a few different approaches to the mirror. And the below post is going to be super long, apologies in advance, but it's a stupid battle so need a lot of typing.....
Assuming the initial conflip goes against us, use dagger basic, always. Whenever possible, target Fury (Dagger have a bunch of turns where it can ignore taunt).
Use your bomber AoE first move, use Fury swarm on first turn, heal second. Use swarm whenever possible as long as most of your ships aren't dazed. Use bomber AoE as often as possible as well.
First Levi turn, use 2nd special, Second Levi turn, call in reaper to reset TM and initiate coin flip sequence.
First Levi turn after reaper always use sabotage hangars, if you go first their sith figther dies, if you go second, this ability does nothing really, but needs to be played. Heal up whoever needs it most.
Second Levi turn after reaper they can only basic, you call in MK6 and nuke their Bomber. Always nuke bomber in my experience, I see some suggest Dagger but that have never worked well for me.
Now, finally 1 ship is down, it's time to go all in on enemy Fury. Burn it down as fast as possible, user your own Fury to swarm, Bomber AoE, Dagger can either basic or AoE (yes, only now, once enemy Bomber is dead is it safe to use Dagger AoE).
A few different things can happen here, if you win the ult flip, it's easy. Assuming you don't there are two different situations you can find yourself in. Either enemy Sith Fighter is there if enemy won first flip after Reaper or you won that flip and enemy Sith Fighter died to sabotage hangars. Both these scenarios can be won, but it's obviously easier if you don't have to deal with Sith Fighter.
Anyway there are two relevant notes I've found, my preferred kill order is:
Bomber - nuke with your MK6
Fury - kill this one as soon as possible after bomber is out, assuming you got a little lucky with Dagger going around taunt it might be well damaged when bomber is nuked.
Sith Fighter - if it's present, kill it next
Reinforcements/Dagger - I'm not sure I have a fixed approach here, it depends a bit on who is called in and what health status is from other ships. Sometimes Scimitar enters the fray and forces your hand somewhat.
MK6 - killed last, mostly, see next wall of text. It's easier to kill MK6 when it does not have allies.
Now the final note is on how I deal with enemy MK6. Once it enters it will have 80 stacks, first turn it will try to nuke one of your ships. Best case it targets your own MK6, that causes enemy to drop 40 stacks and do nothing. Mostly though it nukes one of your ships.
If you were lucky and have taken out Bomber + enemy Sith Fighter died to sabotage Hangars, then you can target Dagger and allow enemy MK6 to climb above 40 stacks again. Try to get it to exactly 42 stacks while hitting on Dagger.
If above 40 stacks enemy MK6 will nuke again, if it's at 42 it dies to a single hit after nuke, which can be ideal case for you if enemy dagger is low on health and you're not left with only your own MK6 after a nuke.
Allowing enemy MK6 two nuke shots is .... interesting.... but it can shorten the battle considerably.
However if enemy MK6 nuke e.g. Bomber or Fury on your side, and they have Sith Fighter, Dagger and Bomber still, keep it below 40 stacks while following kill order above. You can still win this scenario, but mostly if this is where you land it's a mad race against the clock.
I've had several wins with less than 10 seconds to go, so yeah, I hate this fleet change despite my good win rate.
I'm happy to try and record a couple of videos if it's of any interest.