What if the educational institution can't refund the fee?

As you said, in this case, it belongs to an educational institution and there is no mistake. You want a refund. Then according to Article 577 of the Civil Code, the party who fails to perform the contractual obligations shall compensate for the losses. Therefore, you have to pay liquidated damages before the educational institution can refund the fee.

If your child can't study because of the poor quality of the course, or if the promised thing is not fulfilled, this is the first time that an educational institution has breached the contract, then you can cancel the contract according to Article 563 of the Civil Law and ask for a refund.

You can see what kind of situation you belong to according to my answer and then make a plan.