I have Tourettes and I don't have OCD or ADHD. But I have other comorbities though.
I read in a book about Tourettess (it was in German), that some scientist once thought about a diagnosis "complex Tourettes" because a lot of people with Tourettes also have OCD and impulsiveness, hyperactivity and so on. Sometimes having all those comorbities is also called "fullblown Tourettes", but everyone with comorbidities is thought to have "fullblown Tourettes". But in my case I don't see it that way. I see it more like "fullblown autism" if you will, because I see my tics more as part of autism, because it was there first. But this is different in every person I guess.
Out of my point of view it doesn't make a lot of scence blaiming your Tourettes, eventhough there is a connection. I would try to work on it with behavioural therapy and/or medication maybe. I my case magnesium helps a lot against tics.
This is you in some sort of way. You can't differentiate yourself from your brain, even if you want to. Also people with Tourettes can react very fast in situations, are more creative, are fast thinkers and so on. This is also part of Tourettes!
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"I'm astounded by people who want to 'know' the universe when it's hard enough to find your way around Chinatown." - Woody Allen