UK Universities

I am currently a Senior at a high school in the US and I am hoping to major in International Relations in college. I have started looking at some university’s in the UK and I was wondering what my chances of actually getting in are for St. Andrew’s, University of Edinburgh, and London School of Economics (this one is a definite reach).

My stats are the following
Grades: A’s and B’s will be around 3.9
ACT: 34 (35 English, 36 Reading, 34 Science, 33 Math)
SAT Math II: 730
AP Euro: 4
AP Bio: 4
AP US History: 4
AP Lang: 5
Currently enrolled in AP Calc AB, AP US Government, AP Literature and AP Physics
Extra Curriculars: Model United Nations, DECA, Theater and Choir, community service, have done several summer programs related to my desired major etc.

You should be able to get unconditional offers from St.A and Edi. LSE will be a no most likely.