This is the closest term I have seen which fits the meaning and feel of what I was referring to. With "penance" being a close second

Great! I was thinking that the word cheap might have had origins in (non-sports) entertainment or gambling but it makes sense given the definition you mention

@KristinaLopez Agreed. Let me clarify that my use "quick" meant around 20 minutes. I decided to post the question to see if anyone already had an idea of where to look. Not to send the membership on a search that I wasn't willing to perform myself

I like this one. It reminds me of the Spanish word penitencia which is a better fit in this context. I guess I was looking for an equivalent term in English

I thought of that too but I wasn't sure if there was a better fit for denoting an embarrassing or humiliating action