Update `ei` tests #2699

Job	Run time
check-up-to-dateness	5s
test (ubuntu-latest, without-token)	23m 57s
test (ubuntu-latest, with-token-1)	30m 49s
test (macos-latest, with-token-0)	20m 39s
test (macos-latest, ci)	23m 54s
test (windows-latest, ci)	20m 44s
test (windows-latest, without-token)	16m 19s
test (macos-latest, without-token)	18m 12s
test (windows-latest, with-token-1)	31m 44s
test (macos-latest, with-token-1)	22m 55s
test (windows-latest, with-token-0)	30m 30s
test (ubuntu-latest, with-token-0)	27m 49s
test (ubuntu-latest, ci)	19m 19s
all-checks	3s
	4h 46m 59s

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