I drafted this from scratch to meet the requirements of fitting in the space the original did and working the same way it did. The axle should be folded along the single layer hinge then inserted into the smaller, tapered, hole such that it extends equally on each side, both parts are taper to help with that. You can use the larger hole in the broken part under the print to tap the axle in. Note that the axle part should be a TIGHT fit, you don't want it to spin.
The larger hole should be lubricated with Vaseline (petroleum jelly) or other non-toxic lubricant when placed onto the cam on the motor. (Not sure what they used at the factory, but it smelled like that's what it was.) You might want to dab a bit on the axle and the inner of the cam in the hinge too… though they don't seem to have bothered originally.
It took less time to draft this replacement part than I spent on hold to talk to SurePet's support staff…. who upon seeing video of the unit drop shipped me a brand new one under warranty. But by the time they had made that decision I had already printed a first draft . Sadly my tolerances were off and the first draft didn't fit. Third one did and it's been in use for a week now with no issues.
I printed mine in Hatchbox HTPLA with a 0.25 nozzle and 0.15 layer height, 4 walls and 10% gyroid infill. The axle will end up being solid, ideally with only 1 layer on the flex between the two sides, it's just there to make it trivially easy to keep the two halves together for a bit until you shove them in the hole on the arm itself. Arachne perimeter generation is highly recommended so that the spirals around the two holes are neat and solid.
The author marked this model as their own original creation.