Lots of these 1Y master’s programs available (if you can afford them). Including some near you like Georgetown. But I comment about maturity because you don’t seem to know what they look for or have researched even though there is a ton of info online these days and your views are less than nuanced.
Some (like LSE) do get recruited by MBB. But it’s not easy for anyone to get in if you’re less than near-genius-level from any school.