Create and publish a Docker image

👷 Improve Build caching #190

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Run time

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Job	Run time
build-and-push-image (3.10)	3m 5s
build-and-push-image (3.14)	3m 2s
build-and-push-image (3.11)	2m 58s
build-and-push-image (3.12)	3m 1s
build-and-push-image (3.13)	3m 4s
	15m 10s