feat(ci): Publish crates upon release

[phated]

Related issue(s)

Resolves #93

Description

This adds automatic publishing to crates.io when a release-please PR is merged (after the tags are created). I separated this out into a separate workflow and dispatch to it so we can manually run the publish workflow if we need, which can be useful for recovering from a failed build, debugging, etc.

Since cargo doesn't support publishing everything in a workspace, we have to publish the exact correct order and this will need to be updated if the dependencies change.

Summary of changes

(Describe the changes in this PR. Point out breaking changes if any.)

Dependency additions / changes

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Test additions / changes

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Checklist

• I have tested the changes locally.
• I have formatted the changes with Prettier and/or cargo fmt with default settings.
• I have linked this PR to the issue(s) that it resolves.
• I have reviewed the changes on GitHub, line by line.
• I have ensured all changes are covered in the description.

Additional context

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