[Site Switcher] Pre iOS 17.0 search functionality fix.

[alpavanoglu]

Fixes ##23209

Description

Fixes the the new site picker's search not working issue on versions prior to iOS 17.0

Testing Steps

1. Install & Login Jetpack App on a device that is below iOS 17.0 (15.0 to 16.*)
2. Enable Site switcher Redesign Remote Feature Flag
3. Navigate to site switcher from My Site
4. ✅ Verify the search works fine.

Regression Notes

1. Potential unintended areas of impact
   N/A

2. What I did to test those areas of impact (or what existing automated tests I relied on)
   N/A

3. What automated tests I added (or what prevented me from doing so)
   N/A

PR submission checklist:

• I have completed the Regression Notes.
• I have considered adding unit tests for my changes.
• I have considered adding accessibility improvements for my changes.
• I have considered if this change warrants user-facing release notes and have added them to RELEASE-NOTES.txt if necessary.

Testing checklist:

• WordPress.com sites and self-hosted Jetpack sites.
• Portrait and landscape orientations.
• Light and dark modes.
• Fonts: Larger, smaller and bold text.
• High contrast.
• VoiceOver.
• Languages with large words or with letters/accents not frequently used in English.
• Right-to-left languages. (Even if translation isn’t complete, formatting should still respect the right-to-left layout)
• iPhone and iPad.
• Multi-tasking: Split view and Slide over. (iPad)

[dangermattic]

	2 Warnings
⚠️	View files have been modified, but no screenshot or video is included in the pull request. Consider adding some for clarity.
⚠️	This PR is assigned to the milestone 24.9 ❄️. The due date for this milestone has already passed. Please assign it to a milestone with a later deadline or check whether the release for this milestone has already been finished.

Generated by 🚫 Danger

[wpmobilebot]

📲 You can test the changes from this Pull Request in Jetpack Alpha by scanning the QR code below to install the corresponding build.

	App Name	Jetpack Alpha
	Configuration	Release-Alpha
	Build Number	pr23213-1d8ae52
	Version	24.9
	Bundle ID	com.jetpack.alpha
	Commit	1d8ae52
	App Center Build	jetpack-installable-builds #8963

Automatticians: You can use our internal self-serve MC tool to give yourself access to App Center if needed.

[wpmobilebot]

📲 You can test the changes from this Pull Request in WordPress Alpha by scanning the QR code below to install the corresponding build.

	App Name	WordPress Alpha
	Configuration	Release-Alpha
	Build Number	pr23213-1d8ae52
	Version	24.9
	Bundle ID	org.wordpress.alpha
	Commit	1d8ae52
	App Center Build	WPiOS - One-Offs #9914

Automatticians: You can use our internal self-serve MC tool to give yourself access to App Center if needed.

[antonis]

Thank you for the quick fix @alpavanoglu 🏅
I confirmed that the site search works as expected on the same device I reported the issue using JP Alpha build pr23213-cbaa106 🎉

Recording

search.mov

Since my knowledge on Swift UI is practically zero I'll leave the actual code review to others 😅

[salimbraksa]

I confirm the bug is fixed and the code changes look good to me. 👍