One thing to consider, regrowing teeth may just bring back the pyrohhea infection.
I can not say for sure what your case is but pyrohhea infection is often the result of vitamin deficiency, usually vitamin C and B3 ( Niacin ). It is also generally a predictor of circulatory problems that can result from the same deficiency. This can lead to premature stroke, heart attack, aneurysms, and other circulatory problems as a result of poor blood vessel health.
Many dentists would rather get paid lots of money than to tell you about this.