ci: fix examples update workflow #4115

Job	Run time
Find path changes	3s
Turborepo Integration (ubuntu-latest)	3m 16s
Turborepo rust check	3m 15s
Turborepo Integration (macos-13)	3m 35s
Turborepo Integration (windows-latest)	3m 12s
Rust lints	3m 15s
Turborepo Rust testing on ubuntu	3m 14s
Turborepo Rust testing on macos	3m 21s
Turborepo Rust testing on windows	3m 6s
`kitchen-sink` example	0s
`basic` example	0s
`non-monorepo` example	0s
`with-svelte` example	0s
`with-tailwind` example	0s
Turborepo Test Summary	1s
Cleanup / cleanup	3s
	26m 21s

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