ci: Use `nextest` #6919

Job	Run time
Find path changes	17s
Rust lints	4m 59s
Turborepo Integration (macos-latest)	2m 45s
Turborepo Integration (windows-latest)	4m 24s
Turborepo Integration (ubuntu-latest)	2m 5s
@turbo/types codegen check	33s
Turborepo Rust testing on macos	5m 44s
Turborepo rust check	3m 3s
Turborepo Rust testing on ubuntu	4m 3s
Turborepo Rust testing on windows	12m 11s
`with-tailwind` example	0s
`basic` example	0s
`kitchen-sink` example	0s
`non-monorepo` example	0s
`with-svelte` example	0s
Turborepo Test Summary	3s
Cleanup / cleanup	3s
	40m 10s

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