feat: bring over connected labels to warp app

[dmichelin]

Description

This PR brings over some of the worker-host visibility improvements that were done to Oz recently, exposing a "Connected" label for hosts that can be dispatched.

Testing

• I have manually tested my changes locally with ./script/run

Screenshots / Videos

Agent Mode

• Warp Agent Mode - This PR was created via Warp's AI Agent Mode

CHANGELOG-IMPROVEMENT: {{Connected self-hosted workers now have a "Connected" label in the oz worker dropdown}}

[oz-for-oss]

@dmichelin

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[oz-for-oss]

Overview

This PR adds right-side Default, Connected, and Disconnected labels to the orchestration host pickers and switches one picker to action-based selection so badge text is no longer part of the primary item label. Visual evidence is present in the PR description, and no spec context was available.

Concerns

• The inline orchestration host picker no longer keeps an existing initial worker host in the dropdown unless it is currently connected, the default, warp, or already saved as the recent host. That makes some existing remote configs/requests open the custom editor instead of showing the selected disconnected host row.

Verdict

Found: 0 critical, 1 important, 0 suggestions

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[oz-for-oss]

⚠️ [IMPORTANT] Removing the initial host from the menu source means an existing remote config/request whose worker_host is not currently connected and is not the persisted recent host is treated as unknown by set_selected, which opens the custom editor instead of showing the disconnected row. Keep initial in the item list as a disconnected option so existing selections remain visible and editable.