SUM COUNTIFS across columns within a table and across tables...

Currently the following works for 3 columns in one table. I've been trying to optimize this so it is not so repetitive but keep running into errors. I also want to apply this to multiple tables named Game1:Game8.

=IFERROR(SUM(COUNTIFS(Game1[Bat Order:],[Name],Game1[1st Inn.],"P"),COUNTIFS(Game1[Bat Order:],[Name],Game1[2nd Inn.],"P"),COUNTIFS(Game1[Bat Order:],[Name],Game1[3rd Inn.],"P")),"")

Any suggestions would be most appreciated.