Reloading from the last save (Saving is automatic every loading screen and while sleeping), I returned to the duty. This time using the drone's scanner and once more I got lucky (despite the loss of Anolfo) to quickly find the exit. Scoring 15.
After several trials, I could, not quite brilliantly, finish the dungeon and score 21. The timer beeing around 40min, I should find some buddies to recruit at the GrandHotel and form a squad to beat the sixth dungeon level.