Sessions from other computers appear in sidebar — no way to hide or delete them

Description

When logged into the same Anthropic account on multiple computers, the Claude Code desktop app sidebar shows sessions from ALL machines, not just the local one. There is no way to hide, filter, or delete these foreign sessions.

Steps to reproduce

1. Log into Claude Code on Computer A — work on projects X, Y, Z
2. Log into the same Anthropic account on Computer B — work on project W
3. On Computer B, the sidebar shows sessions from Computer A's projects (X, Y, Z) even though those projects don't exist on Computer B

Expected behavior

Each computer should only display its own local sessions. Sessions from other machines should not appear, or at minimum there should be a way to filter by machine or delete them from the sidebar.

Actual behavior

Sessions from all machines are merged into one sidebar list with no indication of which machine they belong to and no option to remove them. The local session API (list_sessions) correctly returns only local sessions, but the sidebar UI shows the full cross-machine set.

Environment

• Claude Code desktop app (macOS, Darwin 24.6.0, ARM64)
• Multiple machines on the same Anthropic account