IB Analyst at Regional Bank considering MBA ---> BB or Elite Boutique Associate. How far can I shoot?

I graduated from a Master of Finance in June 2023. Spent a year doing corporate banking credit underwriting then jumped over to a regional capital markets platform doing Capital Structure Advisory. Recently transitioned into LevFin (bush league). I'm feeling significantly underutilized here and know I can shoot for better, I'm aiming for an MBA at Columbia or NYU (with strong stats) to get a role at a BB or EB as an associate.

My dream is to be a (debtor) Restructuring Associate at an Elite Boutique like PJT or Evercore. Obviously that's a moonshot in general, but if I get into Columbia I think anything's possible. But assuming I only get into NYU - how far can I go? From speaking with a Columbia student currently doin an RX internship at what he considers to be a mid-tier boutique, he said that virtually no one from an NYU MBA gets into RX at firms like PJT, Houlihan, or Evercore. Assuming he's right, what's the farthest I can go? M&A at a BB? 

More than anything, I want a really legit IB base for my career - I know I'm not getting it at the bottom-tier firm I'm at now. The way I think of it in my head is, Restructuring @ Elite Boutique >>  Coverage or M&A at Elite Boutique >>> Coverage or M&A at a BB.

Open to any thoughts.