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/tool-input-streaming.tsx

@@ -0,0 +1,30 @@
+"use client";
+
+import { Tool, ToolContent, ToolHeader, ToolInput } from "@/components/ai-elements/tool";
+import { nanoid } from "nanoid";
+
+const toolCall = {
+  errorText: undefined,
+  input: {
+    include_snippets: true,
+    max_results: 10,
+    query: "latest AI market trends 2024",
+  },
+  output: undefined,
+  state: "input-streaming" as const,
+  toolCallId: nanoid(),
+  type: "tool-web_search" as const,
+};
+
+const Example = () => (
+  <div style={{ height: "500px" }}>
+    <Tool>
+      <ToolHeader state={toolCall.state} type={toolCall.type} />
+      <ToolContent>
+        <ToolInput input={toolCall.input} />
+      </ToolContent>
+    </Tool>
+  </div>
+);
+
+export default Example;