test: fix search E2E tests FTW #8652

Job	Run time
WP 6.1.x, multisite: no, JP: yes, PHP: 8.1	2m 15s
WP 6.1.x, multisite: yes, JP: yes, PHP: 8.1	2m 9s
WP 6.2.x, multisite: no, JP: yes, PHP: 8.1	2m 7s
WP 6.2.x, multisite: yes, JP: yes, PHP: 8.1	2m 13s
WP 6.3.x, multisite: no, JP: yes, PHP: 8.1	2m 20s
WP 6.3.x, multisite: yes, JP: yes, PHP: 8.1	2m 25s
WP 6.4.x, multisite: no, JP: yes, PHP: 8.1	2m 18s
WP 6.4.x, multisite: yes, JP: yes, PHP: 8.1	2m 10s
WP 6.5.x, multisite: no, JP: yes, PHP: 8.1	2m 1s
WP 6.5.x, multisite: yes, JP: yes, PHP: 8.1	2m 11s
WP 6.6.x, multisite: no, JP: yes, PHP: 8.1	2m 6s
WP 6.6.x, multisite: yes, JP: yes, PHP: 8.1	2m 10s
WP latest, multisite: no, JP: yes, PHP: 8.1	2m 22s
WP latest, multisite: yes, JP: yes, PHP: 8.1	2m 23s
WP nightly, multisite: no, JP: yes, PHP: 8.1	2m 6s
WP nightly, multisite: yes, JP: yes, PHP: 8.1	2m 7s
WP latest, multisite: no, JP: no, PHP: 8.1	2m 12s
WP latest, multisite: yes, JP: no, PHP: 8.1	2m 10s
WP nightly, multisite: no, JP: yes, PHP: 8.2	2m 9s
WP nightly, multisite: yes, JP: yes, PHP: 8.2	2m 16s
WP nightly, multisite: no, JP: yes, PHP: 8.3	2m 2s
WP nightly, multisite: yes, JP: yes, PHP: 8.3	2m 21s
	48m 33s

Provide feedback