fix(site): add astro check CI and reduce errors/hints (#1109)

Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

site/scripts/api-docs-builder/src/core-handler.ts

@@ -73,7 +73,7 @@ export function extractDefaultProps(
 
   const defaultProps: Record<string, string> = {};
 
-  function visit(node: ts.Node) {
+  const visit = (node: ts.Node) => {
     // Look for class declaration
     if (ts.isClassDeclaration(node) && node.name?.text === `${componentName}Core`) {
       for (const member of node.members) {
@@ -103,7 +103,7 @@ export function extractDefaultProps(
     }
 
     ts.forEachChild(node, visit);
-  }
+  };
 
   visit(sourceFile);