8e526d7365
Problem: In the public room-booking form (protocol-request.tsx), the date
picker calendar showed English weekday headers and a scrambled day grid under
RTL. Root cause: the shared Calendar (react-day-picker v9) was rendered without
`locale` or `dir`, so weekdays stayed English and its flex week rows reversed
visually under CSS RTL.
Changes (artifacts/tx-os/src/components/ui/calendar.tsx):
- Pass date-fns Arabic locale (`ar`) + `dir="rtl"` when Arabic is active, else
`enUS` + `dir="ltr"`; placed before `{...props}` so callers can still override.
- Added `formatCaption` and `formatDay` formatters (alongside existing
`formatMonthDropdown`) using Intl `numberingSystem: "latn"` to keep Western
digits, matching the app-wide AR_LATN convention (Arabic locale would
otherwise emit Arabic-Indic numerals).
- `isArabic()` now resolves from `document.documentElement.lang`/`dir` first,
falling back to `i18n.language`.
Deviation from plan: after code review, changed language detection from
i18n.language-only to DOM-first. Reason: the booking page forces Arabic by
setting documentElement.lang/dir without changing i18n.language, so a guest with
saved English would otherwise get an English/LTR calendar on that page.
Out of scope (per user): no time-picker or من/إلى changes.
Verified: `tsc --noEmit` passes for @workspace/tx-os. English calendar
unaffected (default enUS/LTR).