In a medium nonstick skillet, over medium-low heat, cook the turkey bacon until crisp, about 11 minutes.
Wipe out the skillet and drizzle with a little EVOO. Cook the chicken, turning once, until opaque, about 3 minutes on each side.
For the pup, finely chop 1 piece chicken, 2 pieces toast and 2 slices bacon, and combine in a bowl. Moisten with the broth and serve.
For yourself, season the remaining 1 piece chicken with salt and pepper and set aside. Mash the avocado and mix in the tomato, lime juice and hot pepper sauce; season with salt. Top 1 piece toast with half the avocado mash, the lettuce, the reserved chicken, the remaining 2 slices bacon, more avocado mash and the remaining piece of toast. Cut the sammy from corner to corner.