feat(cli): add SQLite cache, shared solution runner, and submit command

apps/cli/package.json

@@ -5,6 +5,7 @@
   "scripts": {
     "pick": "bun ./pick.ts",
     "test": "bun ./test.ts",
+    "submit": "bun ./submit.ts",
     "sync": "bun ./sync.ts",
     "close-solved": "bun ./close-solved.ts",
     "close-topics": "bun ./close-topics.ts"