Dropped 3rd strike in FED

[fguyton]

We had a situation last night where BR didn't realize the catcher had "dropped" the 3rd strike (actually WP) and was half way to the dugout when he responded to the yells of the coach and took off to first... and made it due to E2. Defensive coach argued it was too late for BR.

I read a thread from this forum on this from last July that resolved this via OBR casebook. I can't find anything in FED rules about when the BR is out. Is it same as OBR, i.e., dugout steps / dugout?