Breaking into REPE... from PubFin?

Hi all, newbie here.

I just started in PubFin IB a few months ago (graduated early) within the RE group at a MM bank, and need some advice. To preface, my background is a little odd: target, lib arts major, a ton of RE/Finance related internships (from boutiques to BBs) and no connections in the industry. The basis of my position is reliant on structuring RE-backed tax exempt debt/some MBS work on the taxable side, and some infra/project fin work (mainly renewable energy and interestingly enough raising equity). Anyway, my main goal is to break into a top 10 REPE (doing acquisitions/other), and either obtain a RE-concentrated MBA or MSRED down the line.

My question is, what do you think would be more plausible; should I do my two years as an analyst in this position and try to recruit for/lateral to REPE asap? Or, should I attempt to lateral into REIB/non-pub fin group, either at my MM or other, and then recruit for REPE? I don't mind repeating the analyst stint/networking my ass off to do so.

I would appreciate any other suggestions/advice/similar stories.

Thanks in advance.