Your stats are all very good. They’re not after ‘well rounded’; they want STEM. Full stop. So on your application, push the Bio tutor, Robotics, Math honor society, etc. List everything else at the bottom, but do list it.
You need to Ace the Math test on the day of the interview. They give you two sample tests; use a textbook to find similar problems. The real test is almost identical to the practice tests. Just don’t think “this is easy - I had that two years ago”. That’s the point - you probably haven’t worked those kinds of problems in awhile, so brush up!
Your letters of rec need to push intellectual ability as well as tenacity to overcome adversity and obstacles. “Resilience” is their absolute favorite word. TAMS is a Darwinian situation; only the strongest get to go on to a university; they have a reputation to uphold at all costs. It’s ~not~ nurturing (the marketing is just to make parents feel better). You have to be able to overcome setbacks on your own; schedule your own time in the face of innumerable temptations. That’s harder than it seems until you’re actually there.
When you interview, make sure you have a clear path for your future in mind. Your reason for needing (not wanting) what TAMS has to offer needs to ring through. But for heavens sake, don’t come off as a conceited jerk. Confidence is good, but nobody needs a prima donna. Interact with the other students - ask them questions about themselves. Remember, they’re just as much of an achiever as you are, and they are awesome people with very interesting stories to tell.
The things that can hold you back are things you can’t change. They have more girls apply than boys, but they have fewer girls’ dorm rooms, so a smaller percentage of girls are admitted - and the gap is growing. They like to bring in teens from all over the state, so being local puts you at a disadvantage.
Is FMHS Flower Mound? It doesn’t really matter how many are applying from your high school, but not being a Plano Asian (especially Korean), what they call a ‘Plasian’, is also a big disadvantage. They get preferential treatment in admissions, as well as in the school (just sayin’, nothing’s perfect).
I’d say you’re well situated. Let me know if I can help you further. Best of luck!