Create and publish a Docker image

👷 Improve Build caching #192

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Run time

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Job	Run time
build-and-push-image (3.10)	5m 10s
build-and-push-image (3.14)	5m 51s
build-and-push-image (3.13)	4m 46s
build-and-push-image (3.11)	5m 35s
build-and-push-image (3.12)	6m 22s
	27m 44s