Translation of "Pledged" in French

I pledged my loyalty to him.

Je lui ai juré fidélité.

We pledged our support to the candidate.

Nous nous sommes engagés à soutenir le candidat.

She pledged herself never to do it again.

Elle se jura de ne jamais le refaire.

But soon sensed which way the wind  was blowing, and pledged support.

mais a rapidement senti dans quelle direction le vent soufflait et a promis son soutien.