He does not have a no trade clause, however SOMEWHAT similar to his previous trade situation, the type of assets required to move him will likely require a commitment by him to his new team on a contract that goes beyond this year and is financially feasible/ideal for the acquiring team.
I don’t think any team is trading for that contract as-is, regardless of their available cap space.
So in effect, his de facto no trade clause is his willingness to play nice with his contract with a new team, I think.
Besides, Adams strikes me as the type of player and a guy respected enough that no team is going to send anything significant for him if they know he has no desire to be there. It’s a unique situation.