Does the tool that has the 3 holes on it fit onto the 3 bolts on the pulley?

For my E430, I bought a similar tool and the holes weren't quite big enough on the eBay tool to fit over the bolt heads. I ended up jamming it in at an offset angle and was able to put enough pressure to loosen the 36mm fan bolt.

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Daily Driver: 02 E430 4MATIC
In the family: '03 E500 // '04 ML500 // 64 220SE