Honda Dealership told my girlfriend they can’t plug or patch this

She just got her Honda Civic 2024 a few months ago and the dealership is telling her it’ll cost $246 to change the tire. That is what they are suggesting to her…

I’m not in town, so idk if they are being genuine or not.

It appears to be more than an inch away from the sidewall.

Can she just take this to a local tire shop and have them patch or plug it?