To have a caveat removed, ultimately, both parties need to agree.
Whilst the party that initiated the caveat (known here as the caveator) has reason to dispute the probate, the disputed party will only be made aware of the caveat once they try to finalise the probate. Once made aware, they can submit a “warning” which challenges the caveator’s claims for dispute.
After receiving the warning, the caveator must inform the court of this within 14 days of receiving it.
Without altering the court, the probate grant will be issued as initially planned; however, if alerted to the court, the caveat can stay in place until both parties are satisfied.
It can take some back and forth, but once both parties are happy, the caveat will be removed.