In my experience, the overhead in figuring out a codebase is usually large. So taking 5+ new projects each time would mean that you would be spending a lot of time on just reading code.
Now improving code reading/understanding skills is not a bad idea, it is just that it does not seem to be your goal. I would suggest just taking 1 new project each round.
I guess this also matters if you are working on this full-time or not.
Would love to read your experience report as you progress through the rounds.