Is sending a message to the arbitration committee that includes a general apology for any previous error, without specifically disclosing the lie, sufficient to expiate the sin of lying committed during arbitration?

Islam has forbidden estrangement between Muslims and encouraged reconciliation. The better of two disputing parties is the one who initiates peace. The sins of disputing parties are not forgiven until they reconcile. Regret is repentance, and for repentance from lying to be valid, one must desist from it, regret it, resolve not to return to it, and restore rights or seek forgiveness. One must seek forgiveness for lying, regret it, and resolve not to return to it. If the lie resulted in a right for the opponent, then it must be returned or forgiveness sought. The fact that an opponent lied does not make it permissible to lie to them, for it is obligatory to fulfill trusts even to those who betray. If the conditions of repentance are met, Allah accepts it and may undertake to satisfy the opponent.