Any suggestions for a 1 year old lab that engages well, takes the tug on command, and enthusiastically plays and outs well but will not bring the tug back to me?

When I am dealing with a dog that does this, I get the help of a second person and have them handle my dog's leash. I play tug with the dog with the helper holding the leash and then the second person takes the dog and runs them in a circle and right back to me with the tug in their mouth. I tug, release the dog with the tug in his mouth and the helper runs the dog in a circle and right back to me.

We show how to do this in The Foundation of Puppy Bite Work w/ Michael Ellis. This is how we work possessive puppies and young dogs to teach them to bring back the tug to us. You basically are not allowing them to make any choices at first and building a habit of getting the tug and then returning to you for more play and then being released again in a controlled way to encourage the behavior we want.

I do all the foundation work for bitework with my puppies, even those I never plan on doing bitework (such as my border terrier, cattle dog, corgi, etc). It builds a great foundation for using the tug as a reward to be used in agility or competitive obedience.