ci: Encode `build-docker`->`deploy-docs` dependency #2558

Job	Run time
Deploy Docker image	4m 45s
Build documentation	2m 16s
Python unit tests	5m 5s
Deploy documentation	0s
Simulate SW on Snitch Cluster w/ Verilator	11m 37s
Check Sources Up-to-Date	2m 54s
	26m 37s

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