You could probably add enough phosphate to all your food to prevent you from absorbing any manganese, then inject iron, calcium, and magnesium? Just guessing here.
How long would it take you to die on a zero-manganese diet? If it's longer than it takes Borrelia, you still win!
I regularly find myself on a zero manganese diet for hours at a time, and I've yet to experience immediate death, screaming in agony.
Furthermore we have lots of data on how well humans can tolerate extended low manganese regimens. The standard treatment course for TB in the 1950s resulted in humans having low manganese for 1-2 years. This was unpleasant, but not lethal.
Any google search on PAS and manganese will show that it eliminates manganese from the body by chelating it, and is therefore used for treating manganese toxicity.
I don't have a specific reference for manganese levels in people undergoing the old TB treatment. But I'm sure that it should exist somewhere.
How long would it take you to die on a zero-manganese diet? If it's longer than it takes Borrelia, you still win!