fix: broken CI due to deprecated github action artifact usage

[mattlewis92]

Fixes broken auto publishing due to github action v2 artifacts being used:

Error: This request has been automatically failed because it uses a deprecated version of actions/upload-artifact: v2. Learn more: https://github.blog/changelog/2024-02-13-deprecation-notice-v1-and-v2-of-the-artifact-actions/

Also addresses another upcoming change by migrating away from the deprecated ::set-output syntax.

[CLAassistant]

All committers have signed the CLA.

[dae]

One other issue: I had to add --locked to 'cargo install cross', as otherwise it was pulling in a dep (home) that required Rust 1.81.

[dsherret]

Thanks! Going to merge this regardless of if it passes ci. Will fix in a separate pr and get this repo back up to date.