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If you get all heads or all tails then use the last toss as part of your next set of 3.

E.g. HHHHT -> HHT -> 6

Ah yeah of course, there is a zero case as well. I was thinking you just restart as to not bias the result. That's an interesting alternative though

That will make HHH always 6 and TTT always 1

HHH becomes H

Then depending on the next 2 throws

HH -> keep going

HT -> 6

TH -> 5

TT -> 4

For TTT similar with K,1,2,3