The only person with the legal right to compel Forest to proceed with the transfer per the release clause is Morgan Gibbs-White, and due to some combination of unwillingness to exit the club on bad terms and he and his representation fearing further action regarding the breach of confidentiality around the release clause, he has blinked and is not treating this as the violation of his contract that it is.
Barring total reversal of Gibbs-White's attitude, this is over.
This is the relevant question, though it's definitely tricky for Spurs to get clear information given that they have been loudly and expressly refused any contact with the player's side.
If Gibbs-White were willing to do this the ugly way, we would already know it.