chore(tui): remove dead branch cleanup code

- drop unused TUI helpers, test-only layout scaffolding, and stale public debug exports
- remove an unused profiler import and trim test-only coverage for deleted helpers

ui-tui/src/app/slash/commands/ops.ts

@@ -220,7 +220,7 @@ export const opsCommands: SlashCommand[] = [
       const [sub, ...rest] = text.split(/\s+/)
       const query = rest.join(' ').trim()
       const { rpc } = ctx.gateway
-      const { page, panel, sys } = ctx.transcript
+      const { panel, sys } = ctx.transcript
 
       if (sub === 'list') {
         rpc<SkillsListResponse>('skills.manage', { action: 'list' })

ui-tui/src/app/turnStore.ts

@@ -1,7 +1,7 @@
 import { atom } from 'nanostores'
 import { useSyncExternalStore } from 'react'
 
-import { appendToolShelfMessage, isTodoDone } from '../lib/liveProgress.js'
+import { isTodoDone } from '../lib/liveProgress.js'
 import type { ActiveTool, ActivityItem, Msg, SubagentProgress, TodoItem } from '../types.js'
 
 const buildTurnState = (): TurnState => ({
@@ -64,9 +64,6 @@ export const archiveTodosAtTurnEnd = () => {
   return [msg]
 }
 
-export const appendTurnSegment = (msg: Msg) =>
-  patchTurnState(state => ({ ...state, streamSegments: appendToolShelfMessage(state.streamSegments, msg) }))
-
 export const resetTurnState = () => $turnState.set(buildTurnState())
 
 export interface TurnState {

ui-tui/src/app/useMainApp.ts

@@ -442,7 +442,7 @@ export function useMainApp(gw: GatewayClient) {
 
   clipboardPasteRef.current = paste
 
-  const { dispatchSubmission, send, sendQueued, shellExec, submit } = useSubmission({
+  const { dispatchSubmission, send, sendQueued, submit } = useSubmission({
     appendMessage,
     composerActions,
     composerRefs,

ui-tui/src/app/useSubmission.ts

@@ -331,7 +331,7 @@ export function useSubmission(opts: UseSubmissionOptions) {
 
   submitRef.current = submit
 
-  return { dispatchSubmission, send, sendQueued, shellExec, submit }
+  return { dispatchSubmission, send, sendQueued, submit }
 }
 
 export interface UseSubmissionOptions {