What procedure were you looking to get done? I try not to PL too much, but I've been through a variety of dental surgeries, and have had several different types of anaesthesia at this point (general, IV/twilight sedation, local numbing shots to the gums). The type needed varies based on how invasive it is, what the dentist recommends and your own pain level. I've had a front desk lady double check with me about my anesthesia too. It happens.
At the end of the day OP, I would say see a dentist for their expert opinion. You may still have the root and the crown, but if the underlying tooth is shattered it probably won't last long term. I'm biased since I have experience with dental implants, but imo those are better long term than bridges or crowns. They're pricy, but it will be far more durable. It also helps prevent bone loss since there's a "root", as opposed to a bridge supported by the teeth on either side. If you do, see a prosthedontist too if you can, they specialize in implants and other prosthetics.