Speaking as someone who can beat the mission but not consistently - feels hard to quantify the "minimum".
Relics, mods, knowledge/skills, and rng are all very important. I guess r5 across the board? And almost all the guides I've seen give some ideal ranges on health and speed you want to mod them to have. And then you need to understand the mechanics and have some basic idea about when to do what, so that you can at follow those flow charts you find.
I don't know what the no-tryhards minimum is. Full r8 maybe?