[Chess] Remove cached info

[sotetsuk]

#1232

fn	jaxpr lines	time
_legal_action_mask	1652	514.8ms
_flip	91	26.2ms
_is_checked	206	56.0ms
_is_pseudo_legal	136	37.6ms
_hash_castling_en_passant	37	17.4ms
_apply_move	258	68.4ms
_update_history	57	24.6ms

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 80.61%. Comparing base (ccf9620) to head (7ca960d).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1233      +/-   ##
==========================================
- Coverage   80.63%   80.61%   -0.03%     
==========================================
  Files          62       62              
  Lines        5965     5957       -8     
==========================================
- Hits         4810     4802       -8     
  Misses       1155     1155              

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.