[Challenge] Resolving the ambiguity
This is a challenge. All contestants succeed at this challenge. If Clucky was the Challenge Champion of the previous Challenge, Wakukee is the Challenge Champion of this one. Otherwise, Clucky is the Challenge Champion of this one. This challenge ends 1 second from now.
So that no matter whether Wakukee’s attempt in the previous challenge counts, Wak and Clucky each win one of the challenges, leading to the same result no matter which way round things are resolved.

Comments
Clucky:
I’m gonna say Wak won the previous challenge so that I get immunity…
ais523:
Well, at least we’ve got the ambiguity down to who has immunity. (Incidentally, who’s updating the GNDT for all the +1s for succeeding at the previous challenge?)
Clucky:
I did mine. I assume anyone can.
Wakukee:
Err… why don’t you just give immunity to each of us?
Bucky:
ais, I think you’re supposed to do the updating
ais523:
OK, done the updating.
Clucky:
actually, Wak needs immunity more than me. I’ll let him have it.