Your dream is rich with symbolism and themes that can offer insights into your current feelings and experiences. Here are some interpretations to consider:

1. The Magical School Setting: The boarding school represents a place of learning and personal growth. It may suggest that you are in a phase of your life where you are seeking knowledge or trying to navigate new experiences. The magical aspect indicates a desire for transformation or the exploration of your potential.
2. Moving and Choices: The act of moving into different apartments and making choices about your living situation could reflect feelings of adaptability or the desire to make changes in your life. This may also relate to how comfortable you feel in your current environment or relationships.
3. Confusion and Getting Lost: The maze-like corridors and your feeling of getting lost may symbolize uncertainty or confusion in your waking life. You could be facing challenges or decisions that seem overwhelming, leading to feelings of anxiety about finding your way.
4. The Animals: Your pets represent comfort, love, and responsibility. They may symbolize aspects of yourself that you care for deeply or parts of your life that you feel protective over. The urgency to gather them suggests you might be feeling a sense of loss or a fear of losing something important to you.
5. The Headmistress: Her domineering presence could represent authority figures or challenges in your life that feel oppressive. This character might symbolize fears or pressures you perceive, which could be inhibiting your freedom or self-expression.
6. Sneaking Out and Help: Your determination to rescue your animals shows your resilience and protective instincts. The kind lady who helps you represents hope and support, suggesting you may have allies in your life who can assist you in overcoming obstacles.
7. Invisibility: The idea of making your animals invisible yet still safe indicates a desire to protect what you value while navigating challenges. It may reflect feelings of needing to hide or conceal aspects of yourself or your life from others.
8. Learning Magic: The promise of learning magic hints at personal empowerment and the ability to create change in your life. It suggests that you have untapped potential and the opportunity to develop new skills or insights.

In summary, your dream reflects themes of exploration, responsibility, confusion, and the desire for safety and support. It may be beneficial to reflect on areas in your life where you feel overwhelmed or uncertain, and consider seeking help or finding ways to regain a sense of control. Embracing your creativity and potential for change can also be a positive takeaway from this dream.