feat: AI-added records save with placeholders + "Added by AI" provenance

Stop blocking AI imports/proposals on missing non-critical fields. Records
the chat agent drafts now save with safe placeholders, auto-generated file
numbers, and a source="ai" marker that surfaces an "Added by AI" badge so a
clinician can review/edit them later.

Backend:
- add `source` (manual|ai) column to patients/appointments/prescriptions
  (migration 0014) + canonical types, services, validation schemas
- relax patient/appointment validation: empty file number allowed, demographic
  + type/provider/initials fall back to placeholders (initials derived from name)
- patients.generateFileNumber() auto-assigns an MRN when one is missing
- proposeAppointment accepts a name when no file number resolves; AI commits +
  /api/ai/import stamp source="ai"

Frontend:
- `source` on Appointment/Patient/Prescription types; AI commits send source="ai"
- reusable <AiBadge> shown on the Patients table/detail and prescriptions list

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

.agents/skills/ai-elements/scripts/test-results-errors.tsx

@@ -0,0 +1,51 @@
+"use client";
+
+import {
+  Test,
+  TestError,
+  TestErrorMessage,
+  TestErrorStack,
+  TestResults,
+  TestResultsContent,
+  TestResultsHeader,
+  TestResultsSummary,
+  TestSuite,
+  TestSuiteContent,
+  TestSuiteName,
+} from "@/components/ai-elements/test-results";
+
+const stackTrace = `    at Object.<anonymous> (/app/src/api.test.ts:45:12)
+    at Module._compile (node:internal/modules/cjs/loader:1369:14)
+    at Module._extensions..js (node:internal/modules/cjs/loader:1427:10)`;
+
+const Example = () => (
+  <TestResults
+    summary={{
+      duration: 130,
+      failed: 1,
+      passed: 1,
+      skipped: 0,
+      total: 2,
+    }}
+  >
+    <TestResultsHeader>
+      <TestResultsSummary />
+    </TestResultsHeader>
+    <TestResultsContent>
+      <TestSuite defaultOpen name="API" status="failed">
+        <TestSuiteName />
+        <TestSuiteContent>
+          <Test duration={45} name="should fetch data" status="passed" />
+          <Test duration={85} name="should update" status="failed">
+            <TestError>
+              <TestErrorMessage>Expected 200, got 500</TestErrorMessage>
+              <TestErrorStack>{stackTrace}</TestErrorStack>
+            </TestError>
+          </Test>
+        </TestSuiteContent>
+      </TestSuite>
+    </TestResultsContent>
+  </TestResults>
+);
+
+export default Example;