[DanBC]

> I need to collect it and store it to comply with other laws, now I need to verify that the particular way I collect and store that data isn't violating some other new law.

Have you seen this? It seems to say that GDPR allows you to do what you're doing.

https://gdpr-info.eu/art-6-gdpr/

> processing is necessary for compliance with a legal obligation to which the controller is subject;

[horseLOGIC]

I fully it expect it to allow it, but you can't just pick one line out of the whole text and be done. For instance, what's the definition of processing? How does it cross-reference with the whole body of other EU regulations? Etc.