In ChatGPT, Voice doesn't yet support connectors, but we're hoping to add support soon! Once GPT-Live launches in the API, you can also build custom integrations yourself.

Do integrations supporting streaming input?

One big gap I've run into for UX is most realtime voice harnesses wait for a full response from tools, and at most support the model filling the dead air until then

It'd be a game-changer to be able to have the model start replying with partial information streamed from the tool call, then seamlessly continue with additional information.