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Sean "Diddy" Combs is all checked in at his new home for the next two-and-a-half years ... TMZ has learned he's begun serving his federal prison sentence.

Law enforcement sources tell us Diddy was transferred to FCI Fort Dix in New Jersey early Thursday morning and began the check-in process. Remember, this is the prison he requested to serve his time at after Judge Arun Subramanian sentenced him to 50 months in prison .

The Federal Bureau of Prisons ultimately granted Diddy's request. Federal Bureau of Prisons

The mogul's legal team said Fort Dix is the best landing spot for Diddy because there he will be able to "address drug abuse issues" and "maximize family visitation and rehabilitative efforts." Play video content

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