No suggestions but I do have some information -
Wine related causes - I've read brett and being on the lees too long could possibly cause a metallic taste.
Health wise - diabetes, allergies, gastritis are a few of many possibilities.
Medication issues - antibiotics, cold medications, among others.
Personal anecdote, I once had wine in a Yeti stainless coffee mug and it instantly tasted metallic. Never again. Perhaps the flavor would go away once the wine is no longer in contact with the stainless for a while?
Maybe you could get a second or third opinion?
And welcome to WMT!