Not sure how it works, but I found a post that was having the exact issue I am asking about.https://forum.heatinghelp.com/discussion/167543/circulating-blower-motor-cutting-out-mid-cycle
Seems like the post is closed though.
It's not clear what, if anything fixed the issue. I'm gonna guess the flame sensor did some good.
Mine is the same issue. The furnace calls for heat normally, normal induced draft, GV opens, blower starts then stops mid cycle. The gas stays on until the limit cuts out the valve.
It doesn't seem to be the blower itself, because I can switch from auto to on and it works OK (single speed blower), but the gas never shuts off so I just cycle it with the T-stat for now. I have a new control board on the way.
Any ideas would be appreciated.