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/task.tsx

@@ -0,0 +1,59 @@
+"use client";
+
+import { SiReact } from "@icons-pack/react-simple-icons";
+import {
+  Task,
+  TaskContent,
+  TaskItem,
+  TaskItemFile,
+  TaskTrigger,
+} from "@/components/ai-elements/task";
+import { nanoid } from "nanoid";
+import type { ReactNode } from "react";
+
+const Example = () => {
+  const tasks: { key: string; value: ReactNode }[] = [
+    { key: nanoid(), value: 'Searching "app/page.tsx, components structure"' },
+    {
+      key: nanoid(),
+      value: (
+        <span className="inline-flex items-center gap-1" key="read-page-tsx">
+          Read
+          <TaskItemFile>
+            <SiReact className="size-4" color="#149ECA" />
+            <span>page.tsx</span>
+          </TaskItemFile>
+        </span>
+      ),
+    },
+    { key: nanoid(), value: "Scanning 52 files" },
+    { key: nanoid(), value: "Scanning 2 files" },
+    {
+      key: nanoid(),
+      value: (
+        <span className="inline-flex items-center gap-1" key="read-layout-tsx">
+          Reading files
+          <TaskItemFile>
+            <SiReact className="size-4" color="#149ECA" />
+            <span>layout.tsx</span>
+          </TaskItemFile>
+        </span>
+      ),
+    },
+  ];
+
+  return (
+    <div style={{ height: "200px" }}>
+      <Task className="w-full">
+        <TaskTrigger title="Found project files" />
+        <TaskContent>
+          {tasks.map((task) => (
+            <TaskItem key={task.key}>{task.value}</TaskItem>
+          ))}
+        </TaskContent>
+      </Task>
+    </div>
+  );
+};
+
+export default Example;