Check of range is blank in Google Sheets

I want to show the average of a range if any cell is populatedHowever, my formula shows the average only if the first cell is populated

I'm using the below formula

=IF(ARRAYFORMULA(ISBLANK(A2:C2)),"",AVERAGE(A2:C2))

If A2 is populated, the formula's output is not blank, which is expected.

And if A2:C2 is all blank, the formula's output is blank as expected

However, if A2 is blank while B2 and C2 are populated, the formula's output is blank, which is not what I want

How do I get the output of the formula to be blank only if the entire range is blank?