Bump @modelcontextprotocol/sdk from 1.17.5 to 1.20.2

Bumps [@modelcontextprotocol/sdk](https://github.com/modelcontextprotocol/typescript-sdk) from 1.17.5 to 1.20.2.
- [Release notes](https://github.com/modelcontextprotocol/typescript-sdk/releases)
- [Commits](modelcontextprotocol/typescript-sdk@1.17.5...1.20.2)

---
updated-dependencies:
- dependency-name: "@modelcontextprotocol/sdk"
  dependency-version: 1.20.2
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

mcp-server/package.json

@@ -18,7 +18,7 @@
     "lint:fix": "eslint . --fix"
   },
   "dependencies": {
-    "@modelcontextprotocol/sdk": "^1.17.5",
+    "@modelcontextprotocol/sdk": "^1.20.2",
     "@turn-based-mcp/shared": "file:../shared"
   },
   "devDependencies": {