Dreams about family dynamics, especially in the context of loss, can evoke strong feelings and symbolize your inner emotions. In your dream, the appearance of a new sibling, particularly a girl who is favored, may reflect feelings of insecurity or fear of being replaced or overshadowed, especially after your father's passing. This could indicate a desire for attention and validation, stemming from your recent loss.

The volleyball game might symbolize teamwork and family gatherings, suggesting that you feel disconnected from your family's activities or dynamics since your father's death. Your decision to walk home and the presence of puddles could represent your emotional state; perhaps you are feeling overwhelmed, sad, or reflective as you navigate these changes in your family structure.

Your mother's attempt to catch up to you signifies her desire to maintain a connection, even if you are feeling distant. Running away could symbolize your struggle with grief and the fear of losing your place in the family or feeling less valued.

This dream might be an invitation to explore your feelings about your father's death, your role within the family, and any concerns about your relationships with your parents and siblings. Consider discussing these feelings with someone who can provide support, as it may help you process your emotions and strengthen your family bonds during this time of change.