Hmm, I think the only way you can do that is with an Interface I'm afraid. You'd make a blank Interface and drag a Grid element on it so that your table's visible in that interface. Then, you'd add a record picker element and button element to the same Interface, and you'd give the button the "Run an automation" action, and it'd look like this:
Link to base
You need the "Record Picker" element there because buttons expect to have a source, so you'd just use it in that manner; you'd never need to actually interact with it