EDIT (since my original answer may already be irrelevant):
Since you seem to be a newcomer to the job market as Anketam correctly guessed. It could just be that you're blowing things out of proportion and psyching yourself out simply because you're not used to rejection.
I have been to many - my resume is great - but just never get the job.
Job-hunting is a numbers game. That's why it's important to never to use absolute quantifiers like "never" or "always", and never use vague evasive words like "many" when assessing your behavior.
The truth is that you have to treat job-hunting like a real job and that entails using real numbers. Also, it's a fact that rejection doesn't feel good (not just for you, but for everybody), and that our minds are trying to blow that feeling out of proportion so to avoid getting more rejections in the future.
ORIGINAL ANSWER (which may no longer be relevant):
What you're suggesting would go against conventional wisdom, but assuming the job you're looking for is software-related or math-related, and is non-managerial, it may be worth a shot mentioning it.
But I would be very careful with that. Going against conventions is risky. And if you do this, you should try AB testing it.
Just note that in the US, HR departments would try to censor that information out of any resume/cover letter you write, or out of any preliminary interview you take with them, so if you do this, you'll want to mention it to the hiring manager during the job interview, or mention it to them, instead of HR, if you're able to make first contact with them directly.
On one hand, you don't want to give them a reason to discriminate against you, but on the other hand, they may already be discriminating against you based on your outward behavior during the interview, and putting a label on your behavior could be a good way to bypass that concern.
That being said, the ideal solution would be to focus on your interviewing skills and practice interviewing. After all, even people with autism can improve their verbal and non-verbal demeanor with training. But that is no guarantee either. Perhaps the doctor who diagnosed you could recommend a specialist who could help you with that.
Aside from professional therapy, I'd suggest you take a look at practicing public speaking with Toastmasters and practicing technical interviews with Pramp (assuming you're interviewing for a software developer position). The former is a non-profit public speaking club that has chapters pretty much everywhere. And the latter is a web site where job-hunters take turns interviewing each other over video conferencing and using a technical coding problem that the site gives them.