Logic Node Survivor Game Analyzer

Analyzes a Survivor game state to recommend optimal moves or compute probabilities using a base64 encoded JSON payload. It accepts three inputs: gameState (base64 encoded JSON string of the authoritative game state that must be decoded and parsed), myPlayerId (ID of the player this tool should optimize for), and mode (controls whether the tool finds an optimal move or returns probability-style analysis, with a default of optimalMove). The worker must decode the gameState payload, reason only over the decoded JSON plus the other inputs, and then produce raw JSON output. The output must strictly validate against the system-provided structured output schema generated for this tool, with no extra keys or type mismatches.