Is it patchable?

I’m so so so pissed off. I JUST got these new tires and now there’s a nail near the sidewall. I’ve worked in Goodyear and I understand a sidewall puncture is an automatic replacement but I am trying to cling onto this tire. I bought this tire from American muscle and brought it to a shop to have my rears replaced so there’s no shop warranty or warranty for the order. Should I suck it up and take the L, get a new tire, or it’s possible to patch this?

I’m so so so pissed off. I JUST got these new tires and now there’s a nail near the sidewall. I’ve worked in Goodyear and I understand a sidewall puncture is an automatic replacement but I am trying to cling onto this tire. I bought this tire from American muscle and brought it to a shop to have my rears replaced so there’s no shop warranty or warranty for the order. Should I suck it up and take the L, get a new tire, or it’s possible to patch this?