docs(pilot): Phase 9 spec — final consistency polish

- Frontend scriptBuilder API client inventory now matches the backend
  schema: createSession accepts BOTH origin and ai_session_id (both
  required together for inline callers, both omitted for standalone).
- 'If template -> unchanged' sharpened: render location is unchanged,
  but run stamping moves into the panel's new 'I ran this' action per
  the §5 apply lifecycle correction.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

docs/FlowAssist_Migration/phase-9-script-builder-tab.md

@@ -259,7 +259,7 @@ Reset in `resetSessionDerivedState`: both back to defaults.
 Banner's Apply handler (`handleApplyFix`) updated:
 - If no script + no template → set `chatTab = 'script_builder'` (and show tab strip).
 - If drafted script → open NoTemplateDialog in the chat region (new state or existing `scriptPanelOpen` reused).
-- If template → existing TemplateMatchPanel flow (unchanged).
+- If template → open `TemplateMatchPanel` in the task lane (render location unchanged); run stamping happens via the new "I ran this" action inside the panel (see §5), not on Apply click.
 
 ### Tab strip visibility
 
@@ -358,7 +358,7 @@ Manual verification (no component test harness in this codebase per CLAUDE.md):
 
 **Frontend — modified:**
 - `frontend/src/api/sessionSuggestedFixes.ts` — add `patchScript(sessionId, fixId, body, parameters)` method.
-- `frontend/src/api/scriptBuilder.ts` (or equivalent) — `createSession` accepts an optional `origin` argument.
+- `frontend/src/api/scriptBuilder.ts` (or equivalent) — `createSession` accepts optional `origin` and `ai_session_id` arguments (both required together when the caller is `ScriptBuilderTab`; both omitted for the legacy standalone caller).
 - `frontend/src/components/script-builder/ScriptBuilderChat.tsx` — **unchanged**. Stays a pure display component.
 - `frontend/src/pages/ScriptBuilderPage.tsx` — **unchanged on the session-creation path** (defaults to `origin='standalone'`).
 - `frontend/src/pages/AssistantChatPage.tsx` — wire tab strip, mount `ScriptBuilderTab`, banner Apply routing (no `applied_at` stamp on click), NoTemplateDialog chat-region render. Move the `sessionSuggestedFixesApi.applyFix(...)` call from `handleApplyFix` to `handleScriptDecision('one_off' | 'draft_template')` and `TemplateMatchPanel`'s new "I ran this" handler.