One major issue in the case was how Anas would appear in court as a witness.
In May 2023 an Accra High Court ruled that the undercover reporter could take to the stand wearing his trademark bead mask.
However, a Court of Appeal subsequently overturned that decision, insisting Anas should testify without the mask.
On Thursday, state prosecutors submitted a request for a one-month adjournment to work out their next move, but that was denied.
The five-year-long case was also delayed by the murder of Ahmed Hussein-Suale, an investigative journalist involved in the Number 12 documentary and a potential witness, by unidentified gunmen in January 2019.
Another charge against Nyantakye, for fraudulently using the name of former Ghanaian president Nana Akufo-Addo, has also been dropped.