"Ink" is the React reconciler — implementation detail, not branding.
Consistent naming: the classic CLI is the CLI, the new one is the TUI.
Updated docs: user-guide/tui.md, user-guide/cli.md cross-link, quickstart,
cli-commands reference, environment-variables reference.
Updated code: main.py --tui help text, server.py user-visible setup
error, AGENTS.md "TUI Architecture" section.
Kept "Ink" only where it is literally the library (hermes-ink internal
source comments, AGENTS.md tree note flagging ui-tui/ as a React/Ink dir).