chore(claude-code): bump version to 1.0.111

- Updated `claude-code` version from 1.0.107 to 1.0.111 in `package.nix`.
- Adjusted hash values for `src` and `npmDepsHash` to reflect the changes.
- Ensures compatibility with the latest upstream release.

overlays/unstable/claude-code/package-lock.json

@@ -6,13 +6,13 @@
   "packages": {
     "": {
       "dependencies": {
-        "@anthropic-ai/claude-code": "^1.0.107"
+        "@anthropic-ai/claude-code": "^1.0.109"
       }
     },
     "node_modules/@anthropic-ai/claude-code": {
-      "version": "1.0.107",
-      "resolved": "https://registry.npmjs.org/@anthropic-ai/claude-code/-/claude-code-1.0.107.tgz",
-      "integrity": "sha512-YYbOLIZF6aIwUeLa9Yg2gsHggBC5IWJwsA3B0wpl1z412yIgjp2CjWJ2GGLMTxCrrL5WgUe4SDmNxiAYEPP0yQ==",
+      "version": "1.0.109",
+      "resolved": "https://registry.npmjs.org/@anthropic-ai/claude-code/-/claude-code-1.0.109.tgz",
+      "integrity": "sha512-gjj76f/+M5KfI+ORA9VNVJgR7s8eyur66XCWIIO66q4poNWcszxidXo+TDTqokLLwuNV+qFGx4JkK/PDmtwqMA==",
       "license": "SEE LICENSE IN README.md",
       "bin": {
         "claude": "cli.js"