Update `ei` tests #2697

Job	Run time
check-up-to-dateness	5s
test (macos-latest, with-token-0)	26m 53s
test (ubuntu-latest, with-token-1)	25m 54s
test (ubuntu-latest, ci)	19m 41s
test (ubuntu-latest, with-token-0)	28m 13s
test (ubuntu-latest, without-token)	19m 55s
test (macos-latest, with-token-1)	17m 46s
test (macos-latest, ci)	23m 51s
test (windows-latest, ci)	20m 9s
test (windows-latest, with-token-0)	33m 3s
test (windows-latest, with-token-1)	28m 18s
test (windows-latest, without-token)	17m 2s
test (macos-latest, without-token)	15m 26s
all-checks	3s
	4h 36m 19s

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