Put the phone input bar in flow below the output

[IvoryHeart]

Part of #435.

Summary

On phones, the floating Type button sits over the bottom-right of the terminal output and opens the dock without raising the keyboard. This PR replaces it with a messaging-style input bar placed in the terminal's layout, below the output:

• Message…: a full-width field. It opens Composer and focuses the draft within the tap, so the keyboard comes up in one tap. With an unsent draft it reads Continue draft… (aria: "Open terminal input, unsent draft"), replacing the old draft dot.
• Terminal button beside it: opens Direct, through the dock's existing focus handoff.
• In flow, not floating: .terminal-main becomes a column on phones, so the bar never covers terminal text.
• During a long-press selection: the bar hides but keeps its height (data-reserved, visibility: hidden). Without that, xterm resizes and the selection is lost.
• Sizes: buttons are 48px and scale with --ui-scale, like the existing touch targets.
• Unchanged: the other floating controls and the desktop coarse-pointer keyboard button.

App.tsx loses the floating Type button and the draft state that only it used. mobile-nav.css loses its styles. The initial JS shrinks to 801.0/802 KiB. FEATURES.md describes the bar.

Relation to the other open PRs: #436 makes the existing Type button one-tap, while this PR replaces that button with the bar (which is one-tap too), so the two are alternatives for that button. #433 (system Back) is independent; the dock this bar opens is one of its layers.

Tests

TerminalView.inputMode.test.ts, new test "the phone input bar opens Composer with its draft focused, or Direct". It checks:

• the label
• Message opens Composer with the draft focused, saves Composer mode, and keeps stdin blocked
• the unsent-draft label and aria text
• Direct opens Direct with the terminal focused

Validation

• bun run format:check, bun run lint, bun run typecheck and bun run typecheck:bun pass. bun run test:quick: 3719 pass, 0 fail.
• Headless Chrome at 412×915 (mobile layout) against a real Herdr backend:
  • the terminal ends where the bar begins (output 87–853px, bar 853–915px)
  • Message opens the dock with focus in the draft
• The same bar ships in a Roamgate-derived app and was tried on a physical phone there. This branch has not been tried on a device.

🤖 Generated with Claude Code

https://claude.ai/code/session_01AWodzpMyqdBcX25EE9HhDG

[IvoryHeart]

Folded into #438 together with the app bar, so the #435 proposal lands as one PR. Closing this one in favour of it.