[dx] use Biome instead of Prettier, part 2 (#2731)

Biome seems to be MUCH faster than Prettier. Unfortunately, it
introduces some formatting changes around the ternary operator, so we
have to update files in the repo. To make revert easier if we need it,
the change is split into two PRs. This PR introduces a Biome CI check
and reformats all files accordingly.

## Change Type
- [x] `minor` — New feature

scripts/publish-new.ts

@@ -46,7 +46,7 @@ async function main() {
 	const nextVersion = prereleaseTag
 		? `${latestVersion.major}.${latestVersion.minor}.${latestVersion.patch}-${prereleaseTag}.${
 				Number(prereleaseNumber) + 1
-			}`
+		  }`
 		: latestVersion.inc(bump).format()
 
 	setAllVersions(nextVersion)