Combining multiple "COUNTIF" formula into one statement

Situation:

I want to search for a range of specific column in order to check whether it contains multiple specific strings or not. If selected strings found, it will returns a string based on the following conditions.

contain "#ERROR!" -> return "Partly Abnormal"

contain "#N/A" -> return "Abnormal"

contain "#N/A" and "#ERROR!" -> return "Abnormal"

No above strings -> return "Normal"

Problem:

For this purpose, I typed the following formula but I tried several hours and still have no idea how to combine both into one. Your help is high appreciated, thank you!

=IF(COUNTIF(A2:A,"#N/A"),"Abnormal","Normal")

=IF(COUNTIF(A2:A,"#ERROR!"),"Partly Abnormal","Normal")