Fix abnormal behavior on search page

Prior to this cl, if user opens settings app
in single-pane first and navigates to
the search page, then rotate the device,
user observed the search page was still shown
with full screen.

Because we didn't register correct split rule,
it causes the abormal behavior on two-pane mode.
In order to register correct rule,  we also need
to assign correct component name while opening the
search page.

Fix: 206896763
Test: Rebuilt apk and verify the behavior
Change-Id: I7343467aa716d71da63f2ad0a034dc6c1b7fd415