Refactor emoji-edit-dialog to use Composition API (#8657)

* refactor(client): refactor emoji-edit-dialog to use Composition API

* fix(client): fix editing emoji not updating emoji list

* Apply review suggestions from @Johann150

Co-authored-by: Johann150 <johann@qwertqwefsday.eu>

* fix(client): use cached category info instead of making a request

* fix(client): use updateItem in emoji pagination when editing

* fix(client): reimplement removeItem in MkPagination

* Apply review suggestion from @Johann150

Co-authored-by: Johann150 <johann@qwertqwefsday.eu>

Co-authored-by: Johann150 <johann@qwertqwefsday.eu>