[FEATURE] Scheduled task sessions appear in remote clients (iPhone/Mac) but are correctly filtered on desktop

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

When a scheduled task runs, it creates a session that appears in the full session list on remote clients (iPhone app, MacBook). The desktop Claude Code app correctly filters these out. For a task running every 15–60 minutes, this generates significant clutter on remote clients with no way to suppress it.

Proposed Solution

Remote clients should apply the same filter as the desktop app: sessions with a scheduledTaskId should either be hidden from the main session list or grouped under a "Scheduled Tasks" section.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

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Additional Context

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