No more guessing needed. On B. Ginner, the tax collector's game uses between 6 and 12 tokens. Just follow the solutions in the order shown and you'll always win.

6 tokens 5-6

7 tokens 7-4-6

8 tokens 7-8-6

9 tokens 7-8-9

10 tokens 7-8-9-10

11 tokens 7-8-9-10

12 tokens 11-8-9-10-12