My opinion is to get the tooth removed. Once out it can never be any trouble again. If an infection sets in, it might be a few days before it is noticed. You dog won't miss it.
A dog doesn't miss a tooth.
The extraction would be over in about 5 minutes.
Even a root canal can go bad given time!
But of course that does depend on your dog's general fitness for anesthetic so as with all other anesthetics and surgeries, have his blood analysis done first.
And cook up some chicken soup for when he comes home! He will thank you for it.