feat: site search with a dialog in the header and a /api/busca endpoint

Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>

components/Header.jsx

@@ -4,6 +4,7 @@ import { useEffect, useRef, useState } from "react";
 import { createPortal } from "react-dom";
 import Link from "next/link";
 import Logo from "@/components/Logo";
+import SearchDialog from "@/components/SearchDialog";
 import { usePathname } from "next/navigation";
 import { useTheme } from "next-themes";
 import {
@@ -185,6 +186,7 @@ export default function Header() {
 							<SlidersHorizontal className="h-4 w-4" aria-hidden="true" />
 							Selecionar chip
 						</Link>
+						<SearchDialog />
 						<ThemeToggle />
 						<button
 							ref={menuButtonRef}