Fix execution integration tests #16212

Job	Run time
network-tests	9m 6s
op-pool-tests	12m 29s
beacon-chain-tests	15m 55s
release-tests-ubuntu	18m 54s
release-tests-windows	13m 26s
target-branch-check	1s
basic-simulator-ubuntu	13m 37s
debug-tests-ubuntu	11m 24s
doppelganger-protection-test	24m 1s
dockerfile-ubuntu	13m 52s
ef-tests-ubuntu	11m 34s
fallback-simulator-ubuntu	11m 50s
slasher-tests	1m 27s
state-transition-vectors-ubuntu	2m 12s
check-code	7m 46s
cargo-udeps	6m 31s
check-msrv	4m 7s
cli-check	8m 13s
compile-with-beta-compiler	13m 24s
execution-engine-integration-ubuntu	12m 3s
test-suite-success	3s
	3h 31m 55s

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