Support NO_PROXY / http.noProxy settings in VSCode Extension

What version of the VS Code extension are you using?

0.5.60

What subscription do you have?

Plus and Copilot

Which IDE are you using?

VS Code

What platform is your computer?

Ubuntu 24.04

What issue are you seeing?

When using a proxy, we want the requests going to our API gateway go through without a proxy. Other IDe's like continue.dev, cline, kilo respect the http.noProxy setting from VSCode, but Codex doesn't.

https://smallzero.github.io/programming/2025/07/30/added-proxy-in-vscode.html

Related to: https://github.com/openai/codex/issues/2939#issuecomment-3757433030

What steps can reproduce the bug?

Add NO_PROXY and the extension ignores this and sends the request to that host through the proxy.

What is the expected behavior?

NO_PROXY is respected by the extension.

Additional information

_No response_