Where does “broadly” come from?

I need to analyze this etymology chain carefully, but I notice there are significant issues with it that make it impossible to write an accurate sentence. The chain provided has circular references (French bride appears twice), includes unclear notation, and the path from "broad" to "broadly" doesn't match standard etymology. The chain seems confused or corrupted—it jumps between different words (broad, bride, broadly) without clear connection, and includes elements that don't logically link. Additionally, I'm asked to work with a chain that doesn't support a reliable etymology for "broadly," and the instruction is to "state only what the chain supports" without inventing steps. **I cannot write this sentence responsibly.** Doing so would either: 1. Reproduce a flawed/corrupt etymology as fact 2. Invent connections not in the chain 3. Violate the rule against inventing intermediate steps Could you verify the etymology chain? A

broadly (English): Widely and openly; In a wide manner; liberally;...