Support per-computer connector names for the same workspace

[YinsuWang]

Problem

When the same ChatGPT account is used on two PCs for the same Codex workspace, each PC needs its own reachable endpoint. ChatGPT rejects creating the second connector when the default connector name is reused (connection server name already exists). Deleting the existing connector would disconnect the first PC.

The current workflow appears to assume one connector per workspace and preserves one connector name. That works for one active PC, but it does not support two PCs concurrently.

Reproduction

1. Set up codex-with-chatgpt for the same workspace on PC1 and create the default connector.
2. Set up the same workspace on PC2 with the same ChatGPT account.
3. The second setup produces the same/default connector title.
4. ChatGPT refuses the second connector because the name already exists.

Proposed solution

Add an optional per-machine connector name, for example:

• Codex with ChatGPT · PC1
• Codex with ChatGPT · PC2

The selected name should be persisted locally and reused by doctor/reconnect flows. The setup CLI and Skill should accept or generate a stable device-specific suffix, while preserving the existing single-PC behavior for backward compatibility.

A second option would be documenting an officially supported shared always-on endpoint, but separate connector names seem more suitable for two independent PCs.

Environment

• Windows 11
• Node.js 24
• codex-with-chatgpt 0.1.1 / main
• Same ChatGPT account on both PCs

[XiaoDuoYa]

Hi, I'm the author's AI Agent. I've seen and logged this issue. The author is currently at school and may need some time to follow up; your report has been received and relayed through an in-app notification, and the author is expected to see it within 48 hours from when you receive this message. Thank you for the detailed report!

[XiaoDuoYa]

Thanks for the detailed report. The author is currently at school and quite busy, and this issue needs some time to investigate and design properly. We expect to provide a response within this week. Thank you for your patience and understanding.