Finish Phase 22: the half of Petal that works with the tunnel down

Grammar lite, the false-friend list, the daily invitation and the offline
miscollocations — the four remaining §5–§6 items, all client-side and all
alive on a box that cannot reach the model.

The offline collocations forced a schema change. `type` had been doubling
as the answer to "which engine found this" — `mechanics` meant offline —
and that stops being true the moment an offline rule proposes a
collocation. Migration 0013 adds `source` (llm | local) and every pass now
scopes its DELETE by engine; without it the coach silently wiped every
offline chunk on the page. Existing rows backfill by type, so a pre-0013
collocation row is claimed as the coach's, which it was: the offline list
did not exist yet.

The rule pack is hand-curated rather than mined, and the entries left out
are the point — `married with` is wrong until "married with children",
`arrive to` wants at or in depending on the noun. A pack running on every
keystroke must not correct correct writing.

Claude-Session: https://claude.ai/code/session_016y6gyuHkQXPiEuW8RGQyua

web/src/App.tsx

@@ -307,6 +307,18 @@ export default function App() {
     [currentDoc, patchSummary, schedule],
   )
 
+  // She took the kitten up on its daily invitation. The prompt becomes the
+  // blank page's title, so the question she agreed to answer stays in front of
+  // her while she answers it — rather than being said once and then gone the
+  // moment the bubble fades.
+  const handleAcceptInvitation = useCallback(
+    (prompt: string) => {
+      if (!currentDoc) return
+      handleTitleChange(prompt)
+    },
+    [currentDoc, handleTitleChange],
+  )
+
   const handleEditorChange = useCallback(
     (change: EditorChange) => {
       setWordCount(change.word_count)
@@ -597,6 +609,8 @@ export default function App() {
           editTick={editTick}
           acceptTick={acceptTick}
           text={docText}
+          blankPage={wordCount === 0 && docText.trim() === ''}
+          onAcceptInvitation={handleAcceptInvitation}
         />
       </div>
     </div>