Feature: Expose VS Code session names in CLI and allow moving sessions across project contexts

Problem

The Claude Code VS Code extension allows users to assign custom names to sessions graphically (in the sidebar). However:

1. These names are not accessible from the CLI — there is no claude sessions list command that shows the session ID alongside its human-readable name set in VS Code. Finding a session by name requires manually inspecting ~/.claude/projects/<slug>/*.jsonl files.

1. Sessions cannot be moved to a different project context — sessions are indexed by the working directory they were started in. If a session was started in myproject/ but covers work specific to myproject/terraform/digital/, there is no way to reassign it. It remains listed under the parent project in the VS Code sidebar instead of the relevant sub-project.

Proposed Solution

1. claude sessions list — expose custom names set in VS Code

$ claude sessions list

ID            NAME                  CWD                    LAST ACTIVE
dc48606b...   VPC setup             c:\...\myproject      2026-08-11 23:23
f6b38c42...   MGN migration         c:\...\myproject      2026-08-11 17:52
1362f035...   EC2 launch templates  c:\...\myproject      2026-08-11 17:52
85abab96...   Active Directory      c:\...\myproject      2026-08-04 13:12

2. claude sessions move <id> <target-directory> — reassign a session to a sub-project

$ claude sessions move dc48606b c:\...\myproject\terraform\digital

Re-indexes the session under the target project slug so it appears in the VS Code sidebar when the sub-project folder is open. A VS Code sidebar action (right-click → Move to project…) would complement this.

Use Case

On a large project, users name sessions after workstreams (VPC, MGN, EC2, AD, Load Balancer…) using the VS Code UI. When resuming a session from the terminal or opening it in the correct VS Code window, there is no way to match the human-readable name to its UUID, and no way to consolidate sessions under the correct sub-project.

Additional Context

• Sessions stored as ~/.claude/projects/<project-slug>/<uuid>.jsonl
• VS Code custom names are visible in the sidebar but not surfaced in the CLI
• Moving a session = re-indexing the .jsonl under a different <project-slug> directory