Test that every revision builds before pushing changes?

G'day.

I would like to ensure that my commits are fully bisectable before I commit them to an upstream repository, at least to the limits of an automatic tool for testing them.

'git bisect run' is similar: it can automatically locate the breaking in a test suite, for example, but that doesn't help me in the case of three commits, A (good), B (bad) and C (good, fixing B).

I would much rather, in this case, use rebase to fix B so that it, too, builds before I push the changes and pollute a public repository with a broken changeset — and make bisect that much harder to use in future.

Regards,
        Daniel