LSE Fin & Econ vs OXFORD MFE

Hey folks,

I've been shadowing the forum for a while and I need some help on an issue that has not been asked before.

I'm a senior Economics student at a target European University and I've admitted to both the MSc in Financial Economics at Oxford and the MSc in Finance & Economics at LSE. They're very similar programmes and I don't know which one to choose.

I want to get into IB or consulting and eventually break into private equity in Europe (if the EU is still a thing 5 years from now, that is).

Pros of LSE:
-it's in London so crazy networking opportunities available;
Pros of Oxford:
-brand
For the rest, I believe they are pretty much the same.

My weakness:
-Limited job experience.Also, I understand that the British job market has been a mess for graduates since Brexit.

My strengths:
-Fluent in 5 languages (Italian, English, French, Spanish, Portuguese)
-4.0 GPA
-760 GMAT

Questions for you:

-Given my limited work experience, would LSE be better just because of its location? Or does Oxford name matters more at the beginning of a career? And what more down the road?

-Which uni has a better reputation in Asia, especially in Singapore (which I believe is the only place I can work without knowing an Asian language)? I want to do PE in Europe, so Europe seems to be a no brainer, but I want to hedge against the possibility of the EU being dismantled, so I want to have a plan B.