Worried About Exit Opps From Low-Tier BB

Hi all,

I am currently about to start FT at a low-tier BB (think DB/UBS) and am worried that my exit opportunities are limited. I am not exactly set on a PE role but many of my classmates are at top-tier BB or EB banks and I am concerned that I will not be able to place anywhere promising out of my current bank. Will it limit me for MBA, PE, F500, HFs or am I exaggerating the lack of prestige which these low-tier BBs give me?

Please don't respond with "prestige doesn't matter" because let's face it that's not how most people in this forum think. Any insight would be appreciated