tests(e2e): improve login util stability #27625

Job	Run time
changes	28s
build (node: 20)	4m 25s
pretty (node: 20)	1m 43s
unit_back (node: 18)	2m 27s
unit_back (node: 20)	3m 14s
typescript	3m 6s
lint (node: 20)	4m 43s
unit_front (node: 20)	4m 30s
CLI Tests	1m 52s
[CE] e2e (browser: chromium)	3m 14s
[EE] e2e (browser: chromium)	3m 28s
[CE] e2e (browser: webkit)	3m 25s
[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
[EE] e2e (browser: webkit)	3m 22s
[CE] e2e (browser: firefox)	3m 22s
[EE] e2e (browser: firefox)	3m 41s
[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 (sqlite, client: better-sqlite3, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
[EE] API Integration (mysql:latest, package: mysql2, node: ${{ matrix.node }}, shard: ${{ matrix.shard }})	0s
	47m 0s

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