[FEATURE] Desktop App sessions should either sync to cloud or clearly indicate they are local-only.

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

i use claude app from multiple systems and environment ....Desktop App sessions should either sync to cloud or clearly indicate they are local-only. i cannot sync my entire history or even catch up in the evening with unfinished work from morning business

Proposed Solution

sync history of chats and prompts globally over all accounts

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_