feat(settings): a time-format preference and one home for insight pills

The clock format followed the UI language with no way out — an English
interface forced AM/PM everywhere. A new profile preference (automatic,
24-hour, 12-hour) feeds every formatter through the shared locale
context, persists on the user row and rides the profile endpoints. The
insight pill list in settings gains the same eye toggle the overview
tiles have, so ordering and visibility live in one place; the page-side
'manage detail pages' block folds into a link there. Includes the
locale bundles for both features and the regenerated API contract.

src/lib/format.ts

@@ -24,6 +24,7 @@
  */
 
 import { makeFormatters } from "./format-locale";
+import { readStoredTimeFormat } from "./time-format";
 import { locales, type Locale } from "./i18n/config";
 
 function isLocale(value: string | null | undefined): value is Locale {
@@ -45,7 +46,10 @@ function activeLocale(): Locale {
 }
 
 function formatters() {
-  return makeFormatters(activeLocale());
+  // Honour the mirrored hour-cycle preference so these legacy helpers render
+  // the same clock as `useFormatters()` call sites. SSR reads AUTO — same
+  // post-hydration caveat as `activeLocale()` above.
+  return makeFormatters(activeLocale(), undefined, readStoredTimeFormat());
 }
 
 /** Locale-aware "19.02.2026, 14:30" or "02/19/2026, 2:30 PM". */