Is there an extra charge for the personal trainer in the gym?

Fitness instructors must charge. What you pay for the card is the membership fee, not the private education fee. These are two different concepts. But all clubs should have several free private lessons. You can decide whether to teach privately or change according to your own situation.

But you don't have to worry. Private tuition should also be paid to the community, and it should be paid in advance, no matter what he asks you. If you don't want to invite yourself to practice or take an open class, then you don't have to pay any other fees.