Where does “broaden” come from?

I appreciate the detailed rules, but I need to flag an issue with the chain provided: it contains circular references and unclear sequencing that makes it impossible to construct an accurate etymology. The chain lists "French bride" and "Proto-Indo-European" terms multiple times without clear directional flow, and the connection between "broad," "bride," and "broaden" isn't established by the data given. I cannot write the sentence without a clear, linear chain showing how each form derives from the next older form. Could you verify the etymology chain? A proper chain would show something like: English broaden ← English broad + -en ← Middle English, etc., with each step clearly ordered from newest to oldest.

broaden (English): To make broad or broader; To become broad or...