Question: Can the exchanging of marital vows suffice for Ḥalālah?
Answer: The Ulamā have unequivocally stated that when a man gives he's wife three Ṭalāqs at one time or in one sitting, then it will be Ḥarām for him to get married to her for a second time until she does not get married to someone else first. Intercourse is a pre-requisite for this second marriage, therefore the mere exchanging of marital vows will not be sufficient. In this case, there is no other option besides Ḥalālah.
Fatawa Darul Ulūm Zakariyyā, Vol. 4, Pg. 120-122
And Allāh knows best