Shown only when the application enables it (appCustomization.isRememberMe).
Ticking it sends rememberMe on verify (server issues a token valid for
rememberMeDays) and keeps the identity on device for prefill via
AuthyoService.rememberedIdentity() / forgetIdentity(). When the option is
off: no checkbox, flag never sent, nothing stored, and a value kept by an
earlier configuration is removed. AuthyoStyle.checkbox slot; example app
prefills the remembered identity; tests for off / unticked / ticked.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>