If formula for sending "Intimation" based on the expiry date.

Dear Friends,

I am trying to write If statement for sending renewal intimation in advance based on the expiry date. I tried the formula as follows. Unfortunately, I am not getting the desired results. An excel "Book-1" is attached herewith for your kind reference.

=IF(B3="NOC","NOC",IF(A3<TODAY()+90,"Send first intimation",IF(A3<TODAY()+60,"Send Second intimation",IF(A3<TODAY()+30,"Send third intimation",""))))

Thanks in advance