CANTINA-944: For private sites, force disable blog_public UI toggle buttons in Reading Settings to avoid confusion #5746

Job	Run time
WP 5.8.x, multisite: no, JP: yes, PHP: 7.4	3m 56s
WP 5.9.x, multisite: no, JP: yes, PHP: 7.4	3m 59s
WP 6.0.x, multisite: no, JP: yes, PHP: 7.4	4m 2s
WP 6.1.x, multisite: no, JP: yes, PHP: 7.4	3m 49s
WP latest, multisite: no, JP: yes, PHP: 7.4	15s
WP nightly, multisite: no, JP: yes, PHP: 7.4	1s
WP latest, multisite: yes, JP: yes, PHP: 7.4	6s
WP nightly, multisite: yes, JP: yes, PHP: 7.4	1s
WP latest, multisite: no, JP: no, PHP: 7.4	15s
WP latest, multisite: yes, JP: no, PHP: 7.4	8s
WP 6.2.x, multisite: no, JP: yes, PHP: 8.0	22s
WP 6.2.x, multisite: yes, JP: yes, PHP: 8.0	19s
WP latest, multisite: no, JP: yes, PHP: 8.0	10s
WP latest, multisite: yes, JP: yes, PHP: 8.0	1s
WP nightly, multisite: no, JP: yes, PHP: 8.0	1s
WP nightly, multisite: yes, JP: yes, PHP: 8.0	1s
WP latest, multisite: no, JP: yes, PHP: 8.1	12s
WP latest, multisite: yes, JP: yes, PHP: 8.1	1s
WP nightly, multisite: no, JP: yes, PHP: 8.2	1s
WP nightly, multisite: yes, JP: yes, PHP: 8.2	1s
WP nightly, multisite: no, JP: yes, PHP: 8.3	1s
WP nightly, multisite: yes, JP: yes, PHP: 8.3	1s
	17m 43s

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