Fix e2e test for cookie fix #1935

Job	Run time
benchmark_with_flask_mysql (3.9)	2m 27s
benchmark_with_flask_mysql (3.13)	2m 22s
benchmark_with_starlette_app (3.9)	2m 8s
benchmark_sql_algorithm	2m 2s
benchmark_with_flask_mysql (3.12)	2m 7s
benchmark_with_flask_mysql (3.11)	1m 59s
benchmark_with_starlette_app (3.12)	2m 23s
benchmark_with_starlette_app (3.13)	2m 46s
benchmark_with_starlette_app (3.11)	2m 44s
benchmark_with_starlette_app (3.10)	1m 38s
benchmark_with_flask_mysql (3.10)	2m 28s
	25m 4s

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