feat(cms): "View site" link in admin header (MITHOME-97 follow-up)

User request: there was no way to get from the Payload admin back to
the public website — confirmed live (read_page on the admin nav showed
only internal links: collections, globals, account, logout).

Added a "🌐 Honlap megnyitása" link next to the QuickSearch box
(src/components/admin/QuickSearch.tsx — same header slot, no new
admin.components entry or importmap regen needed since the export name
didn't change). Opens in a new tab, points at siteConfig.general.url
(NEXT_PUBLIC_SITE_URL), so it resolves to the correct site per
environment automatically — stage.mozdit.hu on staging, the production
domain once that's live.

Verified live in the browser: link renders next to the search box,
resolves to the expected URL (find() confirmed the href), zero new
console errors in a fresh tab. Gate: tsc, lint, unit tests (51 passed),
production build all green.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

proto/src/components/admin/QuickSearch.tsx

@@ -2,6 +2,7 @@
 
 import { useCallback, useEffect, useRef, useState } from 'react'
 import Link from 'next/link'
+import { siteConfig } from '@/config/site'
 
 /**
  * MITHOME-120 — teljes szöveges gyorskeresés a Payload admin tetején.
@@ -18,6 +19,12 @@ import Link from 'next/link'
  * Regisztrálva: payload.config.ts `admin.components.header` — minden admin
  * oldalon megjelenik. Az importMap.js-t a `payload generate:importmap`
  * generálja újra, ha ez a fájl elmozdul/átnevezik.
+ *
+ * A keresés mellett egy "Honlap megnyitása" link is itt kapott helyet
+ * (felhasználói kérés) — korábban semmilyen link nem vezetett az admin
+ * felületről a publikus oldalra. `siteConfig.general.url` a
+ * NEXT_PUBLIC_SITE_URL-ből jön, tehát környezetenként (dev/staging/prod)
+ * automatikusan a helyes címre mutat.
  */
 
 type Locale = 'hu' | 'en'
@@ -199,12 +206,15 @@ export function QuickSearch() {
     <div
       ref={containerRef}
       style={{
-        position: 'relative',
-        maxWidth: 480,
+        display: 'flex',
+        alignItems: 'center',
+        gap: 12,
+        maxWidth: 620,
         margin: '0 auto',
         padding: '10px 16px',
       }}
     >
+      <div style={{ position: 'relative', flex: 1 }}>
         <input
           type="search"
           value={query}
@@ -234,8 +244,8 @@ export function QuickSearch() {
             style={{
               position: 'absolute',
               top: '100%',
-            left: 16,
-            right: 16,
+              left: 0,
+              right: 0,
               marginTop: 4,
               maxHeight: 420,
               overflowY: 'auto',
@@ -274,6 +284,24 @@ export function QuickSearch() {
           </div>
         )}
       </div>
+      <a
+        href={siteConfig.general.url}
+        target="_blank"
+        rel="noopener noreferrer"
+        style={{
+          flexShrink: 0,
+          padding: '8px 12px',
+          fontSize: 14,
+          borderRadius: 4,
+          border: '1px solid var(--theme-elevation-150, #ccc)',
+          color: 'var(--theme-text, #000)',
+          textDecoration: 'none',
+          whiteSpace: 'nowrap',
+        }}
+      >
+        🌐 Honlap megnyitása
+      </a>
+    </div>
   )
 }