Two issues were causing the input field to retain text after sending:
1. ChatComposer's NSViewRepresentable was skipping all updates while the
text view was first responder. Now it allows clearing (empty binding)
even during editing, only skipping other updates to avoid cursor jumps.
2. ChatViewModel cleared input after awaiting the network response, leaving
text visible during the round trip. Now clears immediately after capturing
the message content, before the async send.
Together these prevent users from accidentally re-sending messages when
the input appeared unchanged after pressing Enter.
