test(inference): count the classifier daemon probe in the context-pin case

The context-pinning case asserts every docker diagnostic command carries
the persisted-context prefix and pins the command count. The image-pull
classifier adds one context-pinned `docker version` probe on the
all-empty failure path, so the count is now six. The pinning contract
itself is unchanged and the new probe satisfies it.

Refs #9308

Signed-off-by: Dongni Yang <dongniy@nvidia.com>
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

Author: Dongni-Yang

src/lib/inference/local-vllm-auth.test.ts

@@ -373,7 +373,9 @@ describe("managed vLLM authentication", () => {
       .filter((argv) => argv[0] === "docker");
 
     expect(result.ok).toBe(false);
-    expect(dockerCommands).toHaveLength(5);
+    // 3 reachability probes, 2 diagnostic re-probes, and the daemon probe of
+    // the image-pull classifier (#9308) — every one context-pinned.
+    expect(dockerCommands).toHaveLength(6);
     expect(
       dockerCommands.every((argv) => argv.slice(0, 3).join(" ") === "docker --context default"),
     ).toBe(true);