[Task] Upgrade to latest version of `cargo-release` for publishing to crates.io

[eike-hass]

Description

A bunch of stuff changed in their latest relase including how to authenticate. We need to figure out if and how we can use the latest version or replace the tool.

Change checklist

Add an x to the boxes that are relevant to your changes, and delete any items that are not.

• [ ] The feature or fix is implemented in Rust and across all bindings whereas possible.
• [ ] The feature or fix has sufficient testing coverage
• [ ] All tests and examples build and run locally as expected
• [ ] Every piece of code has been document according to the documentation guidelines.
• [ ] If conceptual documentation (mdbook) and examples highlighting the feature exist, they are properly updated.
• [ ] If the feature is not currently documented, a documentation task Issue has been opened to address this.