fix: refine synthetic provider + minimax probes

scripts/test-live-gateway-models-docker.sh

@@ -20,6 +20,10 @@ docker run --rm -t \
   --entrypoint bash \
   -e COREPACK_ENABLE_DOWNLOAD_PROMPT=0 \
   -e HOME=/home/node \
+  -e CLAWDBOT_LIVE_TEST=1 \
+  -e CLAWDBOT_LIVE_GATEWAY_MODELS="${CLAWDBOT_LIVE_GATEWAY_MODELS:-all}" \
+  -e CLAWDBOT_LIVE_GATEWAY_PROVIDERS="${CLAWDBOT_LIVE_GATEWAY_PROVIDERS:-}" \
+  -e CLAWDBOT_LIVE_GATEWAY_MODEL_TIMEOUT_MS="${CLAWDBOT_LIVE_GATEWAY_MODEL_TIMEOUT_MS:-}" \
   -v "$CONFIG_DIR":/home/node/.clawdbot \
   -v "$WORKSPACE_DIR":/home/node/clawd \
   "${PROFILE_MOUNT[@]}" \