[FEATURE]: Inject an input field for ChatGPT project folder search - find convos nested within the folders

[bittricky]

Description

A userscript that enhances the ChatGPT interface by adding a search field to project folders, allowing users to quickly search through their saved conversations within a specific folder.

Problem

As the number of saved conversations in project folders grows, it becomes increasingly difficult to locate specific chats. There is currently no built‑in way to search or filter conversations within a folder, resulting in excessive manual scrolling and wasted time.

Proposed Solution

Develop a userscript that:

• Injects a search input field at the top of each project folder (or in the conversations list pane).
• Allows the user to type keywords to filter the list of conversation titles within that folder.
• Updates the visible conversation list in real time based on the search query.
• Supports case‑insensitive matching.

Desired Behavior

1. The user opens a project folder containing saved conversations.
2. A search field appears at the top of the conversation list.
3. As the user types, only conversations with titles matching the query remain visible.
4. Clearing the search field restores the full list of conversations.