I want to be able to clean up the threads so that I can get the bolt back in. I have no idea how far the threads are damaged so should I use a different tap or is that the one I should go with?
If you think the thread damage is deep, you may need a bottoming tap, but I seriously doubt that you've damaged the crank threads very deep, it's very hard to hurt these threads.
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Get the plug tap. Coat it with oil before starting to clean-up the threads.
Edit: When you've completed cleaning up the threads, you will need to flush out the hole, I would use a can of brake clean with an extension tube, just be mindful that it will blow back in your face.
Lightly oil the threads of the crank bolt before you reinstall it, then torque it to spec.
Bottoming taps are designed to put usable threads nearly to the bottom of a
blind hole, something a plug tap can't do. When tapping a hole that is not already threaded, you use a plug tap to put usable threads in the hole, then use the bottoming tap to finish threading the bottom of the hole. It's very difficult to cleanly start a bottoming tap in an unthreaded hole, and it requires some smarts to keep the hole clear of chips, which is why we start with a plug tap.
So endeth today's machine shop lesson.