[CORRUPTED] Synthetic Benchmark PR #14020 - fix: a few regressions from previous PRs

[tomerqodo]

Benchmark PR tauri-apps#14020

Type: Corrupted (contains bugs)

Original PR Title: fix: a few regressions from previous PRs
Original PR Description: <!--
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• Remove a redundant clone: feat: add WebView::set_cookie and WebView::delete_cookie tauri-apps/tauri#13661 (comment)
• Bring back tauri_runtime::Cookie re-export: feat: add WebView::set_cookie and WebView::delete_cookie tauri-apps/tauri#13661 (comment)
• Run API example's on_new_window only on desktop
  Original PR URL: fix: a few regressions from previous PRs tauri-apps/tauri#14020