The anonymous public-share "Ask AI" chat labeled every assistant turn
with the generic "AI agent" even when an Assistant identity (agent role)
was configured. Surface the configured identity name instead, falling
back to "AI agent" when no identity is set.
- server: AiSettingsService.resolvePublicShareAssistantName resolves the
configured role's name (null when unset/missing/disabled), mirroring
PublicShareChatService.resolveShareRole; ShareController returns it as
aiAssistantName on /shares/page-info (only when the assistant is on).
- client: thread aiAssistantName -> ShareAiWidget -> MessageList ->
MessageItem/TypingIndicator via an optional assistantName prop; the
internal chat omits it and keeps showing "AI agent".
- i18n: add "{{name}} is typing…" (en-US, ru-RU) for the typing line.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>