worth applying to LSE?

It's only one choice out of five, and you only need two offers. No reason not to roll the dice.

I’m planning on sending off my application tonight - I am aware this is quite late however it is partially due to the fact that I cannot decide on a 5th choice.
Others have said I should apply to LSE to do international relations however i’m concerned about the competitiveness of my application.
My alevel predicted grades are A*AA (they are asking for AAA) however my GCSES are 88777665 (5 in art).
Evidently my GCSES don’t help me in this case however I do have extenuating circumstances - I had the entirety of year 10 off of school due to bad mental health and returned October of year 11, I also attended the worst school in my area and my grades were in the top 10 overall.
I am also applying to UCL, Manchester, York and Leeds which are all relatively competitive so I was wondering if i’d be wasting an application on LSE. It’s not necessarily my dream uni however it has always been on my mind. Please feel free to be brutally honest as i’m sending this off soon and do not want to make a bad decision. Sorry for asking such a common (and probably tiring) question however I cannot shake off the anxiety I feel from making this decision.
Thought I would mention that my personal statement is very strong according to teachers and even said to be in the top 5 of personal statements one of my teachers have read.
Thank you!