build: update tooling to use new entry-point for dev-infra exports (#45239)

Previously, dev-infra only bundled the CLI with all its dependencies, while
we still also kept all bundled dependencies in the `dependencies`. This basically
meant that the CLI bundling did not provide any value at all.

We fixed this upstream and now dependencies are still bundled, but no longer
also declared as `dependencies`. We also stopped shipping deep JS files, only
shipping the bundles now.

As part of this deep file removal, we introduced a runtime entry-point for
exports/types. This one will also benefit from the bundling and it will be
predictable what symbols dev-infra consumer projects rely on (allowing us to
also have an API guard or something in the future).

PR Close #45239