chore: remove search E2E tests #8802

Job	Run time
WP 6.1.x, multisite: no, JP: yes, PHP: 8.1	2m 11s
WP 6.1.x, multisite: yes, JP: yes, PHP: 8.1	2m 26s
WP 6.2.x, multisite: no, JP: yes, PHP: 8.1	2m 19s
WP 6.2.x, multisite: yes, JP: yes, PHP: 8.1	2m 12s
WP 6.3.x, multisite: no, JP: yes, PHP: 8.1	3m 0s
WP 6.3.x, multisite: yes, JP: yes, PHP: 8.1	3m 21s
WP 6.4.x, multisite: no, JP: yes, PHP: 8.1	3m 11s
WP 6.4.x, multisite: yes, JP: yes, PHP: 8.1	2m 26s
WP 6.5.x, multisite: no, JP: yes, PHP: 8.1	3m 14s
WP 6.5.x, multisite: yes, JP: yes, PHP: 8.1	2m 17s
WP 6.6.x, multisite: no, JP: yes, PHP: 8.1	2m 8s
WP 6.6.x, multisite: yes, JP: yes, PHP: 8.1	3m 14s
WP latest, multisite: no, JP: yes, PHP: 8.1	2m 18s
WP latest, multisite: yes, JP: yes, PHP: 8.1	2m 35s
WP nightly, multisite: no, JP: yes, PHP: 8.1	2m 7s
WP nightly, multisite: yes, JP: yes, PHP: 8.1	2m 30s
WP latest, multisite: no, JP: no, PHP: 8.1	3m 5s
WP latest, multisite: yes, JP: no, PHP: 8.1	2m 24s
WP nightly, multisite: no, JP: yes, PHP: 8.2	2m 17s
WP nightly, multisite: yes, JP: yes, PHP: 8.2	2m 24s
WP nightly, multisite: no, JP: yes, PHP: 8.3	2m 25s
WP nightly, multisite: yes, JP: yes, PHP: 8.3	2m 28s
	56m 32s

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