Is paying a sum of money to the arbitration committee to obtain lands allocated by the state for youth considered a bribe? And is it permissible to own such land in this way?

If a person can obtain their right through a legitimate means, then it is not permissible to pay money for it. However, if paying money becomes the only way to secure the right, then it is permissible to do so, and there is no sin upon the payer. The sin falls upon the one who takes [the money].