Did not read the whole thread but wanted to comment that I worked my way through college slinging tires at Discount Tire. They paid the highest wage around me at the time, have good training for their employees, treat their employees well, specifically are trained not to use scare tactics and speak the truth, etc.
Overall a very reputable, stand up company. If I was not working towards a career in aerospace, I would have taken the offer to be manager of the store I worked at. They were paying $80,000 back in 2012.
Said all that to say. Take it in and have them check it. They will plug and internally patch your tire for Free if it can be repaired. I would have no problem running it with the internal patch. (They will dismount your tire to install it) They also will fill your tires for free at any time if you swing by the back. Just throw the employees a dollar or two. We used to rotate who got to fill tires to get additional tips.
By the end of my time there, I could drive your car in, lift it, change all 4 tires, replace valve stems, balance them, torque them with an actual torque wrench, doing a 2nd confirmation pass on every lug nut. In 14 minutes. And I wouldn’t scratch your rims.
I still go out of my way to purchase all my tires from them. And it’s very convenient to swing in and get your tires filled in about 2 min flat. The big commercial air pumps they use are lightning fast and automatically press to the pressure requested very accurately.