I am in a really boring phone call so I decided to have a look at how we and other countries count COVID deaths. The UK uses the World Health Organisation International Classification of Diseases (ICD) scheme for registering deaths. Here is a nice map of what countries use the same system;
Here's a document from the WHO on how and when you should register COVID as a cause of death to differentiate between dying of and with COVID -
https://www.who.int/classifications/...ID-19.pdf?ua=1