Set Parent Search should clear contents on multiple configuration changes

Expected behavior

When navigating through set parent searching, it is expected that X will clear the search text across configuration changes.

Actual behavior

Although X will clear contents after configuration change, a second configuration change causes the search query text to reshow

Steps to reproduce the behavior

• Navigate to Site Pages
• Tap on the action menu (3 vertical dots) & select “Set Parent”
• Tap on search
• Type some text so there is at least a single result
• Rotate your device
• Tap “X” - the contents clear
• Rotate your device again
• Search contents are still visible

Tested on [device], Android [version], WPAndroid [version]

Google Pixel 3XL
Android Version 10
WPAndroid: Discovered in feature branch feature/master-search-in-set-parent-page
References: https://github.com/wordpress-mobile/WordPress-Android/issues/11119

Start by reproducing the issue in the Set Parent search flow on the feature branch feature/master-search-in-set-parent-page, following the listed rotation and clear steps. Trace how search contents are restored across configuration changes; done means the query remains cleared after a second rotation and the behavior is covered by the relevant Android test.