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Bill Belichick 's first year at UNC has been nothing to cheer about ... but at least Jordon Hudson 's got him covered in that dept. -- The Tar Heels' head coach was a supportive boyfriend at her competition over the weekend.

Photos of the 73-year-old at the Cheer Extreme All-Stars event in Raleigh have been making rounds on social media ... observing all the action as Hudson suited up for Code Black -- a team based in the Tar Heel state.

Belichick -- who was rocking a grey sweatshirt -- was snapped on the sidelines as Hudson did her thing. If you're curious, the whole routine is provided below.

BB's appearance came a day after North Carolina lost to Wake Forest by a final score of 28-12 ... bringing their season record to 4-6.

It's been a season full of outside noise for t

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