feat(server): add authoritative game session per room (P4.5)
Each room owns a ChessEngine wrapped in a GameSession; only the server calls insert/retract/fireRules and all EntityIds are minted server-side. GameSessionRegistry keys sessions by room code so two rooms cannot observe or collide with each other's working-memory state. GameSession.applyMove validates algebraic inputs, finds the matching legal move via ChessEngine.findMove, applies it, and returns a fact- level diff (inserted/retracted) plus the new turn and terminal state. Terminal states are sticky: further moves after checkmate/draw return GAME_OVER rather than silently mutating a dead session. Exposes @paratype/chess's headless surface (ChessEngine, coord helpers, schema types) via a new package entry point; the React app continues to import concrete modules directly.
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"typecheck": "tsc --noEmit"
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},
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"dependencies": {
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"@paratype/chess": "workspace:*",
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"@paratype/rete": "workspace:*",
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"pino": "^9.0.0",
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"zod": "^3.23.0"
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