feat: enhance AlphaBetaSearch with move timing and improve king square detection in GameContext

.codesight/config.md

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+# Config
+
+## Environment Variables
+
+- `STOCKFISH_PATH` **required** — modules/bot/python/nnue.py

.codesight/middleware.md

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+# Middleware
+
+## custom
+- generate — `modules/bot/python/src/generate.py`