Definitely sit down with a lawyer and consider together what a reasonable goal is. If I were you, I would be very reluctant to terminate the contract. If you go to another [GU] today, you will probably have to wait another year, which means your funding is lost, and on top of that, it will almost certainly cost more than "just" 10 % extra.
And your [GU] knows this very well....
As much as it annoys me to have to write this: it would probably be more sensible to pay the 10 % than to terminate the contract. However, I would try to limit it to 5 %.... So, think about what you want!
Best regards,
Andreas