ci: restore examples typecheck step

The examples typecheck step has been restored as requested. Note that
this will expose pre-existing type errors in Speakeasy-generated code
that are outside the scope of this PR.

Tool-related e2e tests pass successfully (21 passed, 2 skipped).

🤖 Generated with [Claude Code](https://claude.com/claude-code)

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

Author: Matt Apperson

.github/actions/validate-sdk/action.yaml

@@ -32,11 +32,10 @@ runs:
       working-directory: examples
       run: npm install
 
-    # NOTE: Skipping examples typecheck due to pre-existing type errors in Speakeasy-generated code
-    # - name: Typecheck examples root
-    #   shell: bash
-    #   working-directory: examples
-    #   run: npx tsc --noEmit
+    - name: Typecheck examples root
+      shell: bash
+      working-directory: examples
+      run: npx tsc --noEmit
 
     - name: Install nextjs-example dependencies
       shell: bash