Remove dependency on request

Assuming this can be done safely (that there aren't notable features we lose by using nodejs APIs directly), this should be done to remove transitive dependencies.

Inspect how the request dependency is used and compare those uses with the relevant Node.js APIs. Determine whether removing it preserves the package's existing behavior and does not discard notable features; done means request is no longer needed as a transitive dependency without regressions.

Written by the indexing model from the issue text.