Feature request: group conversations into Projects in the sidebar

Feature request: group conversations into "Projects" in the sidebar

Problem

The sidebar currently lists all conversations as a flat list, one below another, with no way to group related conversations together. As the number of chats grows, it becomes hard to find conversations that belong to the same ongoing project/task.

Proposed solution

Add a "Projects" concept to the sidebar, similar to what competing tools (e.g. OpenAI Codex) already offer:

• A top-level "Projects" section in the sidebar.
• Each project acts as a folder/container that groups several conversations under one name.
• New chats can be created directly inside an existing project, so all follow-up conversations about the same topic stay grouped together instead of being interleaved with unrelated chats.
• Conversations not assigned to a project continue to appear in a flat "Chats" list, as today.

Reference example

Screenshot from a competing product (Codex) showing this pattern — a "Proyectos" (Projects) section where each project (e.g. fichaje, caseta, itconnect, cristina) contains its own set of related conversations, expandable/collapsible, separate from the flat chat list below:

(see attached screenshot)

Why this matters

Many users work on several distinct, long-running projects at once and create multiple conversations per project over time (follow-ups, new sub-tasks, etc.). Without grouping, the sidebar becomes a long undifferentiated list that's hard to navigate, and there's no lightweight way to keep project context organized without renaming every chat title manually.