There is no money for you. These taxes are on your parent’s earnings, not your earnings. They are entitled to reduce their taxes to the extent the law allows. This is their money, though. It has nothing to do with you.
If you file your own taxes, then they can no longer claim you as a dependent. This will reduce their tax refund and increase the amount of money they owe the government.
Now it is possible you could claim the EITC, and maybe get a bigger refund if you file on your own, but you’d need to talk to a qualified tax accountant to know that for sure. Before you file, you should check to make sure you will get more money back when filing on your own than your parents do by claiming you as a dependent.
If you don’t get any money back (because you don’t pay taxes and aren’t eligible for the EITC), then your family is better off if you let them claim you as a dependent, even if they don’t share their reduced tax burden with you.
But it doesn’t matter what they do. You can always file your own taxes, and if you take your own standard deduction, then they will have to amend their taxes and pay back any money they may have gotten for having you as a dependent.
But you keep talking about how it isn’t fair. I don’t think you should feel that way. These are taxes your parents pay on their income. It has nothing to do with you. Just because you serve as a deduction does not mean it is your money. It isn’t. It is the taxpayer’s money, and you, it seems, are not a taxpayer.