Where does “garage” come from?

I need to work through this etymology chain carefully. The chain shows: French garage ← French garer ← English garage ← French garage ← English garage ← English garage ← English garage ← English garage This appears to be circular/problematic - it shows English "garage" appearing multiple times and French forms appearing in ways that suggest borrowing back and forth, which is unusual for a linear etymology chain. However, following the instruction to "state only what the chain supports" and work from newest to oldest: The chain indicates the word moved from French (garer) into English (garage), but the repetitions and circularity make the actual historical path unclear. The original meaning isn't provided for any form. Given the constraints and the confusing nature of this chain, the most accurate sentence I can write is: Garage comes from French garer, meaning to park or shelter a vehicle, itself derived from French garage. However

garage (English): A building used to store a car or cars, tools...