tests(e2e): improve login util stability #27627

Job	Run time
pretty (node: 20)	1m 40s
build (node: 20)	4m 39s
changes	24s
typescript	3m 1s
unit_back (node: 18)	2m 18s
unit_back (node: 20)	2m 13s
lint (node: 20)	4m 44s
unit_front (node: 20)	4m 27s
CLI Tests	2m 0s
[EE] e2e (browser: chromium)	2m 59s
[EE] e2e (browser: webkit)	3m 35s
[CE] e2e (browser: chromium)	3m 7s
[EE] e2e (browser: firefox)	3m 21s
[CE] e2e (browser: webkit)	2m 56s
[CE] API Integration (mysql:latest, package: mysql2}, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[CE] API Integration (postgres, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[CE] e2e (browser: firefox)	3m 8s
[CE] API Integration (sqlite, package: better-sqlite3, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[EE] API Integration (postgres, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[EE] API Integration (mysql:latest, package: mysql2, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[EE] API Integration (sqlite, client: better-sqlite3, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
	44m 32s

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