Trade-in is not private-party
Valuation sites publish several numbers for the same car. They answer different questions.
Trade-in is what a dealer hands you to take it away today. It is lower because they are buying a problem to solve later — reconditioning, warranty, and the weeks it sits on their lot.
Private-party is what another person might pay you. No warranty, no recourse.
Dealer retail is higher again, because a business is standing behind it.
Put a dealer retail number in a private listing and it sits for a month. That is the commonest pricing mistake there is.