Did I buy the wrong coil?

#1
So I recently bought a small lot of small engines, and one of them is a Briggs 7 horse. I took the cover off and the coil was just laying there with the wire cut to the points behind the fly wheel. I got on eBay and I found this coil (link will be posted below). The new coil fits on the motor just like the original. It just looks different. If I bought the wrong one can you recommend what I need?

Here is the number off the engine:
Model: 170402 Type: 0133 01
Code: 6706151

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