feat: AI-powered eligibility detection from Copy Agent screenshots

Adds an "AI Detect & Check Eligibility" action to the Copy Agent page that
sends captured screenshots to Claude to extract Member ID/DOB, then opens
the chatbot's eligibility confirm step pre-filled with the result.

- POST /api/ai/detect-eligibility-info: Claude vision extraction of
  Member ID/DOB from uploaded screenshots.
- POST /api/patients/create-temp: auto-creates a placeholder "PID-<id>"
  patient (matched by insuranceId+dob) when no patient is selected, so
  screenshots can be saved immediately; the real eligibility check later
  rewrites the patient's name and Cloud Storage folder automatically via
  the existing createOrUpdatePatientByInsuranceId matching logic.
- Chatbot: Member ID/DOB on the confirm card are now editable (MM/DD/YYYY),
  with edits synced back to the patient record before the check runs.
- Fixed a useEffect ordering bug on the insurance-status page that could
  silently clear a chatbot-prefilled Member ID/DOB before the auto-trigger
  effect ran, preventing the eligibility check from ever starting.
- Added a local-disk-only screenshot backup (apps/Backend/uploads/
  screenshot-backups/) for debugging, not exposed anywhere in the UI.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

apps/Backend/src/utils/screenshotBackup.ts

@@ -0,0 +1,21 @@
+import fs from "fs";
+import path from "path";
+
+// Local-disk-only debug copy of screenshots captured via the Copy Agent page.
+// Not exposed anywhere in the app UI — purely for finding raw captures on disk when
+// diagnosing AI detection issues. Never blocks the calling request if it fails.
+const BACKUP_ROOT = path.join(process.cwd(), "uploads", "screenshot-backups");
+
+export function backupScreenshots(files: { originalname: string; buffer: Buffer }[]): void {
+  try {
+    const dateDir = new Date().toISOString().slice(0, 10); // YYYY-MM-DD
+    const dir = path.join(BACKUP_ROOT, dateDir);
+    fs.mkdirSync(dir, { recursive: true });
+    for (const file of files) {
+      const safeName = `${Date.now()}_${file.originalname.replace(/[/\\?%*:|"<>]/g, "-")}`;
+      fs.writeFileSync(path.join(dir, safeName), file.buffer);
+    }
+  } catch (err) {
+    console.error("[screenshotBackup] failed to write backup:", err);
+  }
+}