How do I use a custom sourcegraph code search installation in Cody

Hi, I have installed a custom Sourcegraph code server and can use my private repositories via the “Sourcegraph code search” extension.

I would now like to use the code base directly in Cody via an OpenCTX provider, like

"openctx.providers": {
    // ...other providers...
    "https://openctx.org/npm/@openctx/provider-sourcegraph-search": true
}

In the documentation I only found the provider for the global search context, which obviously cannot be used for a private sourcegraph code server with a custom URL and accessToken.

Do I really have to develop and integrate my own provider for the access? Or have I overlooked something?

Many thanks for any help!