The easiest way to sync your PowerBi data and reports into Airtable would be to use Make's PowerBi integrations. Make is a low-code/no-code automation & integration tool that has strong support for Airtable. 

I create a table visual in PBI desktop, then export the CSV.  From Airtable, create a new table by Email Sync.  Email the CSV.  Last time I looked at Zapier, they didn't do it.  Maybe Make will.

Yep, the good news is that Make can both export & import CSV files automatically. I gave a demonstration of this on this Airtable podcast episode.

Hope this helps! If you’d like to hire an expert Airtable consultant to help you with anything Airtable-related, please feel free to contact me through my website: Airtable consultant — ScottWorld