chore(publish): Fix publish order for `@sentry/types`

[github-actions]

Note

The pull request "chore(publish): Fix publish order for @sentry/types" was created by @Lms24 but did not reference an issue. Therefore this issue was created for better visibility in external tools like Linear.

Types depends on core but we accidentally published it before core. h/t @BYK for detecting this!

[linear]

JS-1268

[github-actions]

A PR closing this issue has just been released 🚀

This issue was referenced by PR #18429, which was included in the 10.30.0 release.