Tries out Tokugawa and switched to Balor as the tank and managed to tie you. I definitely think this team could go further but I'm going to wait for whenever we get the next update.

I vary the frames and builds a lot but I have a list of core roles I always fill:
-I always run a Death's Head, partially because it's my favourite frame and partially because it's extremely consistent at taking out high priority targets, such as the elite witches. I'm experimenting with different weapons, for this run I used Andromeda and Sherman licenses but have recently been testing out an Anti-Material Rifle build with Raleigh, which doesn't rely on any Limited Systems.
-I always run a frame tailored to beating Berserkers. The third enemy squad, War Bois, is 50% Berserkers and if you don't have an answer to them you will die. I've been mostly using Vlad with Impaler Nailgun and Vanguard 3 plus Dismemberment, but I'm trying other frames, as Shrike Armor is actively detrimental for fighting Berserkers.
-I always run a frame with Overpower Caliber Gandiva Missiles and an Assault Rifle, the former to instantly take out Hornets and the latter to instantly take out Grunts. This team actually had two such builds, Balor and Hydra, but I'm currently testing out Drake for this role, and don't think you need two of these.
Other roles that would help a lot:
-Long range AOE artillery: Enemy clumps up a lot
-Dedicated Escort runner: Escorts are some of the most dangerous sitreps because you start facing a ton of enemies and must move through them, so a dedicated mech to run the payload might be worth it.
-Tech Attacker Hybrid: I don't think it's worth running a pure tech attacker but having someone who can disable problematic enemies like Bombards while still dealing damage would be very nice.
In base Lancer, if you have Rapid Burst Jump Jets and Ace 2 (Afterburners), you can boost, fly during your boost, and that's enough flight to count for Afterburners, while that doesn't work in Lancer Tactics, you need to already be flying in order for it to count (so you need Type-1/ATMS/Dusk Wing). I'm not sure if this is a bug, I could see it being a differing interpretation, so was curious.