Given the ambiguous nature, I think this is a cryptic instruction: is an anagram of "two by dy" = two by dy? dy = dysprosium. No.

But in cryptic crosswords: "piece" often means a part or a chess piece. "by 3" = tri- prefix. Could "twbydy" be "two b y d y" → musical notes? B, D?

Given typical cryptic answers: I’ll go with (from tri = three, "by 3" = times three, "am" = "I am" = "I" in Latin? No).

If the answer is just ? "twbydy" = two by two = square, "am" = morning = A.M., "by 3" = ×3? Not fitting.