Your dream about adopting a puppy and involving your cats in a playful training scenario can be interpreted in several ways. Here are some insights:

1. Nurturing and Responsibility: Bringing a puppy into your home symbolizes a desire for companionship and the nurturing instinct within you. It reflects your readiness to take on new responsibilities and care for others. This could be a parallel to a new project or relationship in your waking life.
2. Competitiveness and Comparison: The competition between the puppy and the cats for the food suggests feelings of comparison or competition in your life. It may represent a situation where you feel the need to prove yourself, or perhaps you are evaluating your own skills against others.
3. Seeking Approval and Success: The desire to teach the puppy a "cool" trick and the disappointment when it didn't win may indicate a fear of not meeting expectations, either your own or those of others. This could reflect a situation where you feel pressure to achieve or perform in a certain way.
4. Compassion and Care: Your feelings of guilt when the puppy didn't win and deciding to have it perform a simple command before eating highlight your empathetic nature. It may suggest that you value kindness and compassion, and you want to ensure that everyone gets their fair share, even if it means adjusting your expectations.
5. Balance of Relationships: The presence of both the puppy and the cats may symbolize the different relationships or aspects of your life you are currently balancing. It could be a reminder to consider everyone's needs and feelings, not just your own or the ones that seem more important.

In summary, this dream may be reflecting your nurturing side, your feelings of competition, and your desire for balance in your relationships. Consider how these themes resonate with your current life situations, and think about ways you can foster compassion and understanding in your interactions with others.