Is Allowed HTTP Methods supported with the search tool enabled in the CLI or IDE?

What is the type of issue?

Documentation is missing

What is the issue?

I see Codex Cloud supports configuring allowed HTTP methods as a partial mitigation against prompt injection and data exfiltration. Is there a similar config.toml setting for CLI and IDE?
I don't see any mention of it in the config readme.
I'd love to have this as a middle ground between always approving web searches and being totally open to making any http requests.

Thanks!

Where did you find it?

_No response_