A paternity lawsuit filed by a man claiming to be Jay-Z’s son — Rymir Satterthwaite — has been dismissed with prejudice, Page Six has learned.

In documents obtained by Page Six on Wednesday, a California judge granted the rapper’s motion to dismiss a federal paternity suit filed earlier this year through legal guardian and paralegal Lillie Coley.

Despite repeatedly claiming he’s the son of the music mogul, the ruling means Satterthwaite, 30, can no longer file the same lawsuit or request paternity tests from Jay-Z — also known as Shawn Carter — in the matter.

Page Six has reached out to reps for Jay-Z for comment, but did not receive a response.

Satterthwaite alleged in court documents that the “99 Problems” rapper impregnated his late mother, Wanda Satterthwaite, back in the ’90s — al

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