I'm hoping we skip any real training. Maybe some prep; strategizing, acquiring tools, whatever. Getting attacked by Soujou's mooks, maybe. And then just jumping right to the auction.
Yeah some intelligence gathering could be good. Treating it like a Heist Plot.
The only thing a Training Arc is good for...is explaining the power system and doing some world building.
This series seems pretty international scope early on which is kinda weird for a Manga set in a Psuedo Real World to do early.
But a training arc is awkward cause we really don't know the Major Villains can even do combat wise.