Today after several dozens of attempts I actually managed to be luck enough to only receive the absolute minimal damage of 6 points of damage in total.
- 1 point of damage each from the Malice Beam of each tank = 2 points of damage
- 2 points of damage from each minion mech (1 point from the Malice Beam + 1 point from the drone attack) = 4 points of damage
= 6 points of damage total.
My max HP was 3,598 HP and as such I finished raid with 3,592 HP.
This resulted in a score of 5,747 as you can also see in this video that I immediately recorded after I realized that I had minimal damage received for all four underlings: