Use explore page as search page

[edimitchel]

Clear and concise description of the problem

A bit related with #1120.

As a user I want to have less nav item in the side nav and thinking that searching is quite like explore to something I also know what it is.

Suggested solution

As 🐦 did, exploring is searching for something or just for curiousity.
My suggestion would be to use the explore page also as the search page. The impact would be mainly on the side nav or the bottom nav for mobile.

The behaviour would be :
On desktop: search field will have placeholder Explore and search. On focus, the explore page will be displayed.
The search field could be an "Explore" button which became an input on click.

On mobile, the search icon would show the explore page but with the search field focused to let user search. When result appears, explore page would be replaced by.

Alternative

No response

Additional context

This will probably fix the issue about side nav height (#894)

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