T389161 introduced a new MW core library to format dates according to user preferences. We should use this library in our client-side code, and drop the previous ad-hoc solutions written for T362639.
Acceptance criteria
- Ad hoc code for client-side formatting of dates is dropped (TimeZoneConverter.js, GetFormattedTimeHandler.php, anything using those)
- No user-facing changes w.r.t. client-side timezone updates in Special:EventDetails and event pages (header and dialog)