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So... After getting a buddy of mine to help, I wasn't measuring the inside diameter of the hole the bushing goes into, correctly. Rather than a 24/100ths difference, it is only about 5/100ths difference. In other words, it just needs to be pressed in. I'm pretty sure it will work once he takes it to his shop to do that
So, after getting a buddy of mine to help, turns out I was measuring wrong and there is only about a 5/100ths difference between the OD of the bushing and the ID of the hole it's supposed to go in. In other words, the case needs to be heated, the bushing needs freezing, and then it needs to be pressed in. He has a press at his shop so it should work just fine (fingers crossed).