Should I take a test ?

Most pregnancy test are expensive so I’m only asking to see if I should wait.

I am on the birth control Patch, this last month. I was 4 days late on applying a new patch after my period week because the pharm messed up. I didn’t have sex within those four days but as soon as I put it in my boyfriend and I had sex, we don’t use condoms and he didn’t pull out. We completely forgot how it take a week after you apply the patch on late for your it to protect you. Before the mess up I would take my patch of in Saturday and get me period Tuesday. But now I start taking the patch of Tuesday,yesterday (tuesday) I had cramps so I thought it was coming but the cramps went away and now I’m late. Should I take a test or wait ?