Hi.
Unfortunately not. You will need to split it to multiple Webhooks.
"Project" is a special operator. You can't use it as an Attribute but only as an operator. This is why the '~' (equals one of) isn't working cause that operator requires a construct of Attribute ID/Name. "Project" is an operator as you said which takes a value only (UUID of the project).
On top of that the set of expressions requires all expressions to match (so using 'and' between the expressions and not 'or'), so you can't combine a few 'Project' based expressions. From the documentation, see:
So, there isn't a way to combine it all in a single Webhook. You will need to create a Webhook definition for each individual project.
I hope this helps. Let me know if any questions.
Thanks,
Sagi