Any interventions would have to be targeted directly at the B. burgdorferi to disrupt their internal regulation of manganese. It's a long shot used to make this research discovery sound more impressive, not an actual cure.
Your own body uses manganese for critical processes like your metabolism, critical brain functionality, and generating important antioxidants in your mitochondria (MnSOD, the same one mentioned inside of Lyme in the article).
Your body also regulates manganese absorption and excretion. Manganese deficiency is extremely rare outside of genetic conditions or other medical problems which interfere with this regulation. You can't really starve yourself of manganese by adjusting your diet or even by periods of fasting.
So if you're reading this and thinking you could defeat Lyme by starving yourself of manganese or overdosing on manganese, don't. That's not what this article is saying.