Add search bar to `SelectionScreen`

[s77rt]

Coming from #94920. The docs showcase a search bar in some selection pages. In all of these page we are using <SelectionScreen />. Let's update that page to support the search bar (useSearchResults) see MerchantRulesSection for example.

Issue Owner

Current Issue Owner: @truph01

[s77rt]

[truph01]

@s77rt Can I work this one since I worked on the linked issue?

[s77rt]

Not sure cc @lakchote

[lakchote]

@s77rt Can I work this one since I worked on the linked issue?

@s77rt should work on this one since he's in charge of the frontend implementation, it'll make it easier too for payment and who did what

[truph01]

@s77rt Can I work this one since I worked on the linked issue?

@s77rt should work on this one since he's in charge of the frontend implementation, it'll make it easier too for payment and who did what

@lakchote Thanks for your information. If it needs a reviewer, I can take it over.

[lakchote]

Just assigned you @truph01!

Can you start working on it @s77rt?