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

[tomerqodo]

Benchmark PR tauri-apps#14020

Type: Clean (correct implementation)

Original PR Title: fix: a few regressions from previous PRs
Original PR Description: <!--
Before submitting a PR, please read https://github.com/tauri-apps/tauri/blob/dev/.github/CONTRIBUTING.md#pull-request-guidelines

1. Give the PR a descriptive title.

Examples of good title:
- fix(windows): fix race condition in event loop
- docs: update example for App::show
- feat: add Window::set_fullscreen

Examples of bad title:
- fix tauri-apps#7123
- update docs
- fix bugs

2. If there is a related issue, reference it in the PR text, e.g. closes [CLEAN] Synthetic Benchmark PR #14409 - Apply Version Updates From Current Changes #123.
3. If this change requires a new version, then add a change file in .changes directory with the appropriate bump, see https://github.com/tauri-apps/tauri/blob/dev/.changes/README.md
4. Ensure that all your commits are signed https://docs.github.com/en/authentication/managing-commit-signature-verification/signing-commits
5. Ensure cargo test and cargo clippy passes.
6. Propose your changes as a draft PR if your work is still in progress.
   -->

• 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