fix(web): start sidebar terminals in the session directory

scripts/verify-package-readme-model-experience.ts

@@ -54,7 +54,7 @@ const SENTENCE_MODEL_EXPERIENCE: Readonly<Record<string, SentenceContract>> = {
   'packages/experimental/voice-input-bundle': { kind: 'none', reason: 'Composes dictation and preparation plugins without adding any model-facing contribution.' },
   'packages/telemetry/otel': { kind: 'none', reason: 'The service delivers caller-selected records without changing model context.' },
   'packages/host/product-telemetry-otel': { kind: 'none', reason: 'The plugin exports explicit analytics records without contributing model context.' },
-  'packages/api/terminal-controller': { kind: 'none', reason: 'User-owned terminal processes and screen streams never enter model requests or Session events.' },
+  'packages/api/terminal-controller': { kind: 'indirect', reason: 'Working-directory recovery owns directory context; user terminal screens never enter model requests.' },
   'packages/client/ui-sidebar-terminal': { kind: 'none', reason: 'The browser renders user terminal screens without exposing them to the model.' },
   'packages/ssh/ssh': { kind: 'none', reason: 'The connection owner transports private provider operations; consumers own all model-facing content.' },
   'packages/ssh/fs-ssh': { kind: 'indirect', reason: 'The remote filesystem delegates model rendering to the existing filesystem consumers.' },