Count if one cell contains one of three options and another is blank

[SaraWitch]

Hello peeps,

I want to count column H if it contains "Archive", "Update" or "Rename" and cell I is blank.

I have tried a combination of formulas, including:
=SUM(COUNTIFS($I8:$K$100,$H$8:$K100,{"Archive","Update","Rename"}))
=COUNTIF($H$8:$K100,"Archive")+COUNTIF($H$8:$K100,"Update")+COUNTIF($H$8:$K100,"Rename")+COUNTIF($I$8:$I100,"")

Lost count of the others I tried!

Any help would be gratefully received...

 

[Fluff]

How about

=SUM(COUNTIFS($I8:$I$100,"",$H$8:$H100,{"Archive","Update","Rename"}))

 

[SaraWitch]

I omitted to say that I had put "" but, of course! I was doing conditional formatting at the same time and put the wrong formula in the main sheet!

Thank you so much, @Fluff!

 

[Fluff]

You're welcome & thanks for the feedback.