MoneyGram is a payments and money transfer company that lets people send money internationally. The service is provided to consumers as a payment service by MoneyGram entities, not as software that you host yourself.
MoneyGram International, Inc. is headquartered in Dallas, Texas, in the United States. It was acquired by Madison Dearborn Partners in 2023 and is no longer publicly listed; that investor is also American. According to the global privacy notice, the US subsidiary MoneyGram Payment Systems, Inc. is usually the controller, but those using the service in the EU deal with a Belgian MoneyGram entity. The global data processing addendum lists the GDPR and the UK GDPR. No hosting location for customer data is published, so ask about it in advance.