The "overseas training agreement" you mentioned is an agreement that stipulates how many years you must work in the company when you are sent abroad for training, or how much you need to pay the company.

If this is the agreement, although you have not formed a written labor contract, it is still protected by the labor return law (for example, if the company does not sign it before February 1 year, it will have to pay double wages). At the same time, according to the labor contract law, there are two situations in which liquidated damages can be agreed: confidentiality and training.

Your situation belongs to the situation where liquidated damages can be agreed, and if you sign an agreement to go abroad for training, you will have to pay liquidated damages if you resign.

Several copies of the agreement have nothing to do with this matter.