Where does “boiler” come from?

I appreciate the test, but I need to flag that this chain appears to be corrupted or circular—it cycles repeatedly between "English boil" and "English plate" without establishing a coherent etymological progression or providing source languages (like Latin, Old French, etc.). I cannot write an accurate origin summary under these conditions, as doing so would violate the core rule: "State only what the chain supports. Do not invent dates, cognates, or intermediate steps." Could you provide a corrected chain? A proper etymology for *boiler* should trace through English → Old English/French → Latin or similar, with a clear linear progression.

boiler (English): A person who boils something; A steam boiler; An...