chore: remove ESLint in favor of Biome #5901

Job	Run time
Find path changes	16s
Turborepo Integration (ubuntu-latest)	6m 5s
Rust lints	5m 40s
Turborepo Integration (macos-13)	24m 6s
`basic` example	0s
Turborepo rust check	5m 38s
Turborepo Integration (windows-latest)	25m 10s
`kitchen-sink` example	0s
Turborepo Rust testing on macos	13m 14s
`non-monorepo` example	0s
Turborepo Rust testing on windows	14m 20s
Turborepo Rust testing on ubuntu	4m 48s
`with-tailwind` example	-1s
`with-svelte` example	-1s
Turborepo Test Summary	3s
Cleanup / cleanup	6s
	1h 39m 24s

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