Fleet Shard Mafia

This is ...not the best advice. Relic levels to win coin flips are not necessary and for most people will be a poor use of relic mats. 

instead of following this path, just take your tank out of the starting lineup in favour of the Mk6, which uses 1-Health stacks instead of a standard health pool. Because that ship can never be at less than 100% health, the enemy Levi/Sith ships can never gain TM by hitting it. And because it's very low health, the enemy ships will preferentially target your interceptor -- the AI doesn't understand stacks. It assumes that 1-Health means that the interceptor is an enemy that they can finish off quickly. 

With your tank gone and your interceptor in, the AI targets the interceptor and gains no TM. Your squad gains TM because you're hitting ships with a health pool. Bring in Dorito as your first reinforcement and don't use your AoE until you get your bonus turn (on your bonus turn you ignore protection). That gives you a massive TM boost for all the ships you're taking under 100% health. 

And, of course, the enemy Fury will use its heal to bring all the enemy ships back up to 100% health so you can gain TM from them again. 

You will always outrun the enemy even if you lose the opening coin flips. You will always take control over the enemy Levi. There are a very, very few random situations in which you get 2% dodges or other specific bad luck happening multiple times, and in those cases you might time out. You will never get your fleet killed, but you might time out. It hasn't happened to me since the very first time I played this strategy, but that's because I was thinking way too much between moves. That wasn't even bad luck. Just me being slow. Several times since then I've had it come down to less than 20 seconds, but never actually timed out except the once. So ... it can happen, but it should be very, very rare.