sounds interesting.
I recall my dad & his buddies used to like a “shot in the beer” as they called it.
what you describe is about the same but a better quality.
For the longest time I thought they mixed them..yuk
IIRC, a shot in the beer is the reference to a regular Boilermaker.
Lunch Box is a specific kind of boilermaker.
Oh, no you don’t dump them.
Drop and go.
The thing is that you don’t want to let it sit for more than a couple of minutes, lest the Baileys in the drink starts to curdle—and then it doesn’t taste as good.