Carry conversations into new sessions with a visible summary

- Bots get continue_in_new_session: the bot writes a title and summary,
  the session closes for good (read-only) and the new one opens with the
  summary as a "Carried over from the last session" message that links
  back to the old session.
- Continue in new session (conversation menu, sessions modal) and the
  automatic rollover at the session length do the same; New session now
  starts a fresh, unlinked session.
- Session length is an app setting in Settings > General.
- ?session_id= opens a session; a carried-over one shows a bar linking to
  where the conversation went on instead of the composer.
- The thread can open the previous session above the current one (shown
  only, never in the prompt), and replies get search_past_sessions and
  read_past_session.
- Sessions are named from their opening messages, not their latest, and
  a carried summary is labelled as the earlier session's.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

src/bots-queue/grab-session-carry-over.ts

@@ -4,6 +4,7 @@ import { AppData } from "@/src/data/app-data";
 import { PreviousSessionNote, SessionSummaryPrompt } from "@/src/data/harness-prompts";
 import grabBotMessages from "@/src/functions/backend/db/bots/grab-bot-messages";
 import generateText from "@/src/harness/text/generate-text";
+import sessionNameTranscript from "./session-name-transcript";
 
 type Params = {
     session_id: number | string;
@@ -53,9 +54,7 @@ export default async function grabSessionCarryOver({
 
     if (!messages.length) return "";
 
-    const transcript = messages
-        .map((message) => `${message.author == "user" ? "User" : "You"}: ${message.text || "(files only)"}`)
-        .join("\n\n");
+    const transcript = sessionNameTranscript({ messages });
 
     const result = await generateText({
         messages: [