How does the requirement to provide information based on the AML relate to the GDPR?

In the context of the GDPR, in the quoted provision it is stipulated that the collection of this information and its processing by the entities required to do so for the purposes of the AML (Estonian Act on Prevention of Money Laundering and Terrorist Financing of 26.10.2017) is possible, because implementation of the AML is in the public interest mentioned in the GDPR.

In other words, BitBay can - or even must - collect this information in order to be able to act in the public interest mentioned in the GDPR.