[Lynn Eades]

Jordan,once again, no knowledge on my part. What does the nut behind the gear do?
Can you use it to push the gear a bit?
If you heat the gear, a quick heat like oxy accetylene will get you the gear hot without the shaft getting hot at the same time. If you use the ring gear fitting method of using a wooden match to check the heat. That is, do not heat past the point where a match will char or "slips' easily sideways (loss of friction)
Something like a chain vicegrip might swing it off, when it is hot. I hope this lot helps.