chore(release): Publish build-rs on release (#15708)

### What does this PR try to resolve?

I know that us not publishing `build-rs` recently came up and was
surprised to see this wasn't fixed. Unsure where that conversation is or
what happened with it.

Looks like it was in #15567 and there was no follow up on my side...

### How to test and review this PR?
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Ed Page 2025-06-30 20:51:29 +00:00 committed by GitHub
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@ -31,6 +31,7 @@ TO_PUBLISH = [
'crates/cargo-util-schemas',
'crates/cargo-test-macro',
'crates/cargo-test-support',
'crates/build-rs',
'.',
]