My general rule of thumb is the majority of problems you're facing will be MUCH better once you focus on healing the gut - Candida, SIBO, H. Pylori over growth etc..Simply eliminating foods we have sensitivities too - gluten, dairy, eggs, soy, corn (it depends on YOU but for most of us traditional dairy and gluten are a problem) is another amazing "biohack".
I spent years focusing on my gut from every conceivable angle as well as the elimination diets that you mention with zero effects. Not all skin problems have their etiology in the gut, although this hypothesis is undoubtedly very popular lately.