[Go] Refactor using `_player_order`

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Comparison is base (b60f579) 88.11% compared to head (3ce6828) 88.10%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #1157 +/- ## ========================================== - Coverage 88.11% 88.10% -0.01% ========================================== Files 64 64 Lines 6000 5996 -4 ========================================== - Hits 5287 5283 -4 Misses 713 713 ```

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