custom emojis & searchable HTML emojis

### Problem I have

I would like to have the thumbs up emoji 👍 from the emoji selector on the toolbar, I did not found the HTML emojis available.

### Solution I'd like

I started a project earlier - listing HTML emojis (v16-v17) for copy & paste - might be handy make searchable (and translatable?) HTML emojis in every circumstances, if it fits to Phanpy app needs: https://htmlemoji.fun

### Alternatives considered

_No response_

### Other

_No response_

Start by reading the existing emoji selector on the toolbar and locating how emoji data, custom emojis, search, and translation are handled. Clarify whether both Mastodon custom emojis and searchable HTML emojis are required; done means the agreed emoji set is available from the selector, searchable, and usable for copy and paste where intended.

Written by the indexing model from the issue text.