Delete unused `update-integration-tests.yml` (#400) #1152

Job	Run time
build (astropy, 3.11)	43s
build (papyri, 3.11)	41s
build (IPython, 3.11)	42s
build (numpy, 3.11, --no-narrative --no-exec)	37s
build (scipy, 3.11, --no-narrative --no-exec)	39s
ingest	0s
	3m 22s

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