If you use a right sized drill bit, you can get around the having to use the tool. The bit must fit snug with as little play as possible. The gear is still a bit of a bitch to get out without it coming apart. But, not impossible.
Maybe some else has other "Mcgyver's" on hand if you don't come right.
I often wonder where that road goes? And that, has usually made all the difference. Appologies to Mr Frost