Sorry, but it is obvious in this case that it cannot be a genuine "mint error". The mint would not have a sixteen year old die just sitting around waiting to be accidentally used instead of an obverse.
These coins are made by first taking two perfectly normal pennies. One penny is ground down flat on one side until it is very thin. The second coin is put into a lathe and hollowed out, making a shallow "bowl" which, if they've done their job properly, should just fit the thin disc of the first coin in nicely. You can see some examples of American and British coins treated this way in
this thread. You can see the "seam", where the two coins are joined together, on the George V side of the British example in that thread. I believe I can see this seam on the 1935 side of your coin.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis