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Tyler Robinson -- the 22-year-old suspected of killing Charlie Kirk -- is currently being evaluated by jailhouse staff in a Special Housing Unit ... TMZ has learned.

Utah County Sheriff's Spokesperson Sergeant Raymond Ormond tells TMZ ... tells us Tyler's in the SHU under "Special Watch" while they work to determine if he's a danger to himself or others -- with mental health pros evaluating whether or not he's suicidal. FBI

We don't know if he's made any comments which could indicate he's considering suicide in jail ... though law enforcement sources told us earlier Friday that Tyler allegedly indicated to his father he'd rather die by suicide than turn himself in to police.

We're told Robinson's been placed in Special Housing because the jail will have more m

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