Issue trying to sum different columns

I am trying to sum 3 different columns and I'm not being successful.

My function is: =ARRAYFORMULA(SUMIF(MONTH(D:D), 2, A:C))

Where D is a column with dates, and A,B and C columns with currency (A-value, B-shipping and C-tip). So my idea is to sum the values I got just for the month of February.

The function works but it seems to be just summing the column A and not the other two. Does anybody know how can I make it sum all 3 columns?

Here's my demo sheet: https://docs.google.com/spreadsheets/d/1XuBAj1MJFZvxHd-doxgjB30uzAIj_c1v01GYDzxG_SI/edit?usp=sharing