Advance M8-M11 parity workflows

web/tests/e2e/physics-solver-probe.spec.ts

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+import { expect, test } from "@playwright/test";
+import fs from "node:fs";
+import path from "node:path";
+
+const root = path.resolve(import.meta.dirname, "../../..");
+const expected = JSON.parse(fs.readFileSync(path.join(root, "tests/golden/M10-13/physics-solver-probe.json"), "utf8"));
+
+test("M10-13 probes each Physics solver family and keeps failures bake-only", async ({ page }) => {
+  await page.goto("/");
+  const result = await page.evaluate(() => new Promise<Record<string, unknown>>((resolve, reject) => {
+    const worker = new Worker("/src/workers/physics-solver-probe-test.worker.ts", { type: "module" });
+    worker.onmessage = (event: MessageEvent<Record<string, unknown>>) => { worker.terminate(); resolve(event.data); };
+    worker.onerror = (event) => { worker.terminate(); reject(new Error(event.message)); };
+    worker.postMessage({});
+  })) as {
+    familyOrder: string[];
+    defaultProbe: string[];
+    probes: Record<string, string>;
+    routes: Record<string, string>;
+    localGate: { status: string; issues: number };
+    fallbackGate: { status: string; code: string; message: string };
+  };
+  expect(result.familyOrder).toEqual(expected.familyOrder);
+  expect(result.defaultProbe).toEqual(expected.familyOrder.map(() => expected.defaultProbe));
+  expect(result.probes).toEqual(expected.probes);
+  expect(result.routes.RIGID_BODY).toBe(expected.localRoute);
+  for (const family of expected.familyOrder.filter((family: string) => family !== "RIGID_BODY")) {
+    expect(result.routes[family]).toBe(expected.fallbackRoute);
+  }
+  expect(result.localGate).toEqual({ status: "READY", issues: 0 });
+  expect(result.fallbackGate.status).toBe("BLOCKED");
+  expect(result.fallbackGate.code).toBe(expected.fallbackErrorCode);
+  expect(result.fallbackGate.message).toContain("desktop/server bake");
+});