Unable to update Cargo.lock file with private dependencies

[Tiwalun]

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I'm trying to use Renovate in a repository where some Rust dependencies are stored on a private registry, hosted on JFrog Artifactory.

I've setup authentication in renovate.json5, but get an "Artifact Update error".

Command failed: cargo update --config net.git-fetch-with-cli=true --manifest-path crate/Cargo.toml --workspace
    Updating `sparse+https://example.com/artifactory/api/cargo/cargo/index/` index
note: name of alternative registry `sparse+https://example.com/artifactory/api/cargo/cargo/index/` set to `private-artifactory`
error: failed to get `private-crate` as a dependency of package `my-crate v0.19.0 (https://github.com/Sample/my-crate?tag=0.19.0#2edfc1c1)`
    ... which satisfies git dependency `my-crate` (locked to 0.19.0) of package `root-crate v2.13.2 (/tmp/renovate/repos/github/Sample/root-crate/crate)`

Caused by:
  authenticated registries require a credential-provider to be configured
  see https://doc.rust-lang.org/cargo/reference/registry-authentication.html for details

Is there any config setting I'm missing, or is this use case not supported?

Logs (if relevant)

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