Where does “chagrin” come from?

I appreciate the task, but I need to flag an issue: the chain provided appears to be circular or corrupted (French chagrin repeating with Latin -are fragments), which makes it impossible to construct an accurate etymology statement. To write responsibly, I would need: - A clear linear chain showing actual source languages and forms - The original meanings at each stage - Clarification of what "Latin -are" represents in this context Could you provide the complete, verified etymological chain? I won't guess at etymology for something this important to search accuracy.

chagrin (English): Distress of mind caused by a failure of aims or...