feat: introduced omptype validation package and migrated workspace dependencies

- Introduce `@oh-my-pi/omptype` as a new ArkType-compatible schema validation package featuring a lazy JIT runtime, JSON Schema emission, and compatibility adapters.
- Replace `arktype` across workspace packages and test utilities with `@oh-my-pi/omptype`.
- Add benchmark suites, tests, and documentation for the new validation engine and adapters.
- Update workspace build, test runner, and release configurations to include the new package.

packages/coding-agent/package.json

@@ -54,6 +54,7 @@
     "@mozilla/readability": "catalog:",
     "@oh-my-pi/hashline": "catalog:",
     "@oh-my-pi/omp-stats": "catalog:",
+    "@oh-my-pi/omptype": "catalog:",
     "@oh-my-pi/pi-agent-core": "catalog:",
     "@oh-my-pi/pi-ai": "catalog:",
     "@oh-my-pi/pi-catalog": "catalog:",
@@ -77,7 +78,6 @@
     "@puppeteer/browsers": "catalog:",
     "@types/turndown": "catalog:",
     "@xterm/headless": "catalog:",
-    "arktype": "catalog:",
     "chalk": "catalog:",
     "fast-xml-parser": "catalog:",
     "handlebars": "catalog:",