Take Epsom salt baths. You probably don't need more calcium, but need to balance your calcium to magnesium ratio. Most people are calcium dominant, and magnesium is arguably a more important mineral. In addition, getting enough 10am-2pm sunshine depending on your location (some locations the UV rays are heavily filtered based on the angle of the earth, higher latitudes you will need more). And also a high quality vitamin K2 supplement to help prevent calcium being deposited in the walls of your arteries, and storing it in your bones and teeth where it belongs. Drink acidic beverages through a straw. Don't avoid acid though, helps with digestion, just don't bathe your teeth in it and put it down the gullet...
AND FYI I have had dentists tell me I had cavities, and then later it is shown they are gone. Teeth are not kitchen knives, they are living things, being constantly bathed in a mineral bath of vitamins, saliva, soda, food, and more. That's a terrible analogy. And if they are like kitchen knives, then Vitamin K2 is an electrochemical plating method that adds layers of metal via a chemical process. It would be like saying skin is like paper, once it's cut, it's cut!! No...
If I were you I would weigh the benefit of trying to heal yourself vs the potential damage of the healing not working. If the tooth is a goner what do you have to lose? Can it spread to other teeth? Have you gotten a second opinion?
You could even have your saliva tested for vitamin K2 levels.
Source: DYOR and I'm 30 and never had a cavity.