deps: upgrade `third-party-web` to 0.26.1 #8445

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Run time

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Job	Run time
Chrome stable 1/3	4m 24s
Bundled Lighthouse 1/3	2m 46s
Windows smoke 1/2	5m 55s
Chrome stable 2/3	4m 7s
Chrome stable 3/3	3m 53s
Windows smoke 2/2	7m 32s
Bundled Lighthouse 2/3	2m 50s
Chrome ToT 1/3	4m 14s
Bundled Lighthouse 3/3	2m 19s
Chrome ToT 2/3	4m 15s
Chrome ToT 3/3	3m 54s
	46m 9s