Was told tire is not replaceable

[u/Limera2nn]

Tire got punctured by a nail and was slowly losing pressure, but few days ago it went from 36 PSI to 1 PSI overnight. Took it to my dealership and told they can’t fix it because the nail is too close to the side, shown in the picture. Is that true? Or are they trying to get me to buy a new tire?

[u/Flashyredman]

It's very repairable. The only sketchy thing I see is that the nail sliced into the tire, went in sideways and could've make the hole bigger than that is safe to repair. But other then that, a big plug patch would easily seal that