Mental disabilities/illnesses and would I be disqualified/rejected for them? (USA)

This isn't a right-now sort of situation, as I'm still working through my Bachelor's degree. I have ADHD, Autism, Generalized Anxiety, and Major Depressive Disorder. I'm currently on meds for the anxiety/depression combo and I'm in counseling for all of the above (and gender dysphoria). I know that the FAQ page says I won't be, but are they telling the truth? Sorry if a stupid question.

Edit: No I am not asking if I can handle it. Thank you for your input. I am asking if my application would be rejected regardless of if I am very competent on paper and in person, due to listing my diagnosed disabilities.

by Content_Maybe_4394

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