Allow building pickers without EmojiPicker.Search #11
Description
In some cases, like autocomplete pickers, search can be driven externally, making EmojiPicker.Search unnecessary.
One option is to expose the inner store's search value (and its onSearchChange handler) but I'm not a huge fan of this, and since the store is only available within EmojiPicker.Root, it could force flowing external values within just to apply them.
Proposed API
A search prop is added to EmojiPicker.Root which acts as a controlled search value, just like value on EmojiPicker.Search.