LSE Politics & Economics – worried my personal statement is too economics-focused

Hi everyone, I’m feeling quite stressed about my LSE Politics & Economics application and wanted some honest opinions.
I didn’t do as much research into universities and courses as I should have before applying. My personal statement is much more heavily focused on economics (and land economy) rather than politics, because most of my other choices were economics-based. In hindsight, I think I should’ve applied for pure Economics at LSE, but instead I chose Politics & Economics.
I am genuinely interested in politics, but I didn’t explore or provide enough in my personal statement. I think part of this was because I was initially very worried about the TMUA and tailored my application around courses that felt “safer” for me at the time. Now that I’ve sat the TMUA and it didn’t feel as bad as I expected, I really regret not applying for another course at LSE.
I’ve already got an offer from Manchester for Economics, and I’ve also applied to:
UCL – Economics
Warwick – Economics
Cambridge – Land Economy
LSE – Politics & Economics
My predicted grades are:
A* Biology
A* Chemistry
A* Maths
A* Economics
A AS Further Maths
LSE and Cambridge are my top choices, and I’m worried that LSE might see my personal statement as not political enough for P&E. Has anyone been in a similar situation, or knows how strict LSE are about subject balance in the personal statement?
Any advice would really help - thanks.

I was in a similar situation last year when I applied to econ and maths as I thought it was safer than pure Econ which is where I applied everywhere else- I got rejected for the very reason that my personal statement wasn’t enough of both subjects. LSE is extremely strict on ps since there’s no interview