feat: add /api/health endpoint for monitoring

Add a static health endpoint at /api/health/index.json that returns
JSON status for monitoring tools. The build script generates it with
a build-time version stamp.

Returns: status, services (api, agent_loop, websocket), uptime, version.

Fixes #6

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

api/health/index.json

@@ -0,0 +1,10 @@
+{
+  "status": "ok",
+  "services": {
+    "api": true,
+    "agent_loop": false,
+    "websocket": false
+  },
+  "uptime": null,
+  "version": "20260322.230710"
+}

scripts/build.py

@@ -17,14 +17,17 @@ Generates:
 """
 
 import html
+import json
 import os
 import re
 from datetime import datetime, timezone
 from pathlib import Path
 
 SITE_URL = "https://alexanderwhitestone.com"
-BLOG_DIR = Path(__file__).parent.parent / "blog"
+ROOT_DIR = Path(__file__).parent.parent
+BLOG_DIR = ROOT_DIR / "blog"
 POSTS_DIR = BLOG_DIR / "posts"
+HEALTH_DIR = ROOT_DIR / "api" / "health"
 
 PAGE_STYLE = """\
     * { margin: 0; padding: 0; box-sizing: border-box; }
@@ -291,6 +294,23 @@ def generate_feed(posts):
     print(f"  Generated feed with {len(entries)} entry/entries.")
 
 
+def generate_health():
+    """Generate api/health/index.json with build-time metadata."""
+    HEALTH_DIR.mkdir(parents=True, exist_ok=True)
+    health = {
+        "status": "ok",
+        "services": {
+            "api": True,
+            "agent_loop": False,
+            "websocket": False,
+        },
+        "uptime": None,
+        "version": datetime.now(timezone.utc).strftime("%Y%m%d.%H%M%S"),
+    }
+    (HEALTH_DIR / "index.json").write_text(json.dumps(health, indent=2) + "\n")
+    print("  Generated api/health endpoint.")
+
+
 def main():
     print("Building The Scrolls...")
     posts = load_posts()
@@ -299,6 +319,7 @@ def main():
         print(f"  Built: {out.relative_to(BLOG_DIR.parent)}")
     generate_index(posts)
     generate_feed(posts)
+    generate_health()
     print("Build complete.")