Should I do a masters at LSE?

hello everyone, to keep things simple the title says it all, I am considering doing a master's at LSE.

I studied economics at a complete non-target in the UK (I graduated in 2018). But due to my good grades and perseverance, I managed to land an internship offer with a small boutique firm in London and I am with them ever since.  I like the job and my co-workers however I feel like I want to move to a bigger and stronger firm in London however I haven't been lucky in networking or recruiting in the past few months. Which led me to consider doing a master's or MBA. I ruled out the mba because it's wayyy more expensive than a normal master's which I feel suits me better especially if I decided to do a Ph.D. later in my life. The master's I am considering is in financial/economic history which I really find interesting btw. Do you think it's a good move or i should opt for a more traditional master's in finance or economics? or do you advise me to be more patient with recruiting to bigger banks and to ignore the masters thing? Cheers