This is how you ask the factory to label the trademark for you alone:

1. You can discuss this issue with the manufacturer when formulating the contract. You can make it clear in your contract that only you or someone you designate can put your trademark on the product.

2. Corresponding fines and liability for breach of contract can also be stipulated in the contract to ensure that the factory can comply with your requirements.

3. When discussing contract details with the manufacturer, you can consult with a lawyer or professional consultant in advance to ensure that your rights and interests are fully protected.