ci: Remove publish dependencies

[mslipper]

The publish tasks don't need to depend on upstream tests. This will let us run Hive tests earlier in the pipeline, and shave off additional CI runtime.

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[trianglesphere]

How does the deployer-bedrock image get built now?

[mslipper]

How does the deployer-bedrock image get built now?

It's not currently used anywhere - we can resurrect it as the need arises.

[mslipper]

I stand corrected - the regentool uses it. However, cloud build still creates that image so we're still covered as long as the builds are for commits to develop.

[mergify]

This PR has been added to the merge queue, and will be merged soon.

[mergify]

This PR is next in line to be merged, and will be merged as soon as checks pass.