Remote Control: bulk approve tool calls across multiple sessions

Problem

When running multiple Claude Code sessions simultaneously (e.g., via tmux), each session independently requests tool approval. On mobile via remote-control, you have to switch between sessions and approve one by one. This is tedious when you have 3-5+ sessions running.

Proposed Solution

Add a bulk approval UI in the mobile app / web remote-control interface:

• Show a list of pending approvals across all connected sessions
• Allow "approve all" or selective multi-approve with checkboxes
• Optionally: "approve all from this session" shortcut

Context

Third-party apps like CC Pocket offer this kind of cross-session bulk approval, but require Tailscale + bridge server setup. Having this natively in remote-control would remove the need for external tooling.

Current Workaround

• Use acceptEdits permission mode + allow rules to reduce approval frequency
• Approve one by one on mobile