Is it possible to keep an event sheet handy through multiple projects?
Nope.
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You can't copy/paste either, and don't try, it causes crashes and/or bugs.
You can create a template project which you can then reuse for your new projects.
You could if you copy and paste the events inside an event sheet, to a new event sheet in the next application I think, haven't tried this in the new/.99 construct versions though
Not until 2.0.