Where does “nibble” come from?

I need to write an etymology for "nibble" but the chain provided is for "bite," not "nibble." Let me check the instructions—I'm told to work with the chain given, but there's a clear mismatch between the headword (nibble) and the chain (bite). Given the rules state "State only what the chain supports. Do not invent dates, cognates, or intermediate steps," I cannot ethically create an etymology for "nibble" using a "bite" chain, as this would be inventing an intermediate step that isn't supported. I should flag this issue: **The chain provided traces "bite," not "nibble." I cannot accurately complete this task without the correct etymological chain for "nibble."** If you intended for me to write the etymology for "bite" instead, here it is: Bite comes from Middle English biten, from Old English betēon, from Proto-

nibble (English): A small, quick bite taken with the front teeth;...