And yes, you are correct, organisations have 72 hours to disclose the breach.
The various data protection offices (such as the ICO in the UK) usually try to work with organisations first. If Blackbaud aren't playing ball though, they may be in for a rough ride (assuming that they actually operate where the EU has jurisdiction that is).
A data controller has 72 hours to notify the ICO (or other supervisory authority). A data processor has no such obligation [unless specified as part of the data processing agreement DPA]
Most DPA will state asap s.t the controller can notify
But in this instance Blackbaud would almost certainly be a processor
(It’s a neat [nasty] little loophole
For more reading on this:
https://ico.org.uk/for-organisations/guide-to-data-protectio...