"clear search input" button

[tleb]

• Context: when searching for an ident and pressing enter, we land on an ident page and the searchbar is still populated.
• Issue: if we want to write something else, we must select text inside the input, remove it, then start using it again.
• Proposal: add a clear (×) button at the end of the input.

• It mustn't make the input too small in any scenario, so it is fine to hide it in those cases. Is there any such case? For example, the input takes the full width on mobile.
• Question: should we keep the magnifying glass logo? It makes it clear it is a searchbar but a cross besides the magnifying glass logo might look messy.