Anyway to add interaction to the query?

It may involve something like this: https://gndev.info/kb/how-to-use-another-shortcodes-inside-of-attributes/

You’ll need the gdoc_table_html filter to create the drop-down box (i.e., the HTML <select> element), and then the gdoc_query filter to modify the query based on user input. You’ll need to write your own code using those filter hooks to do this, though. There isn’t a second shortcode for this.