Add conversations/participants/messages tables, a participant-scoped REST
API (/api/conversations) and a Socket.io server (session-authenticated
handshake; per-user + per-conversation rooms) sharing the HTTP port. New
messages broadcast live and create per-recipient notifications. Also lands
the notifications table + service + routes (used by the message flow). The
Messages page is rewritten: live threads, unread state, and a compose
dialog to start a conversation with a clinic member.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>