Place it at the exact end of a rambling segment as the final word, then follow with a Nelson Ha Ha Sound Effect if a second character needs the last laugh in your edit.
About this sound
This is Peter Griffin saying 'who the hell cares' in a flat, nasal drawl that stretches just under four seconds. It feels bluntly dismissive and impatient, like a bored shrug turned into words, with sarcasm doing most of the work. The line comes from Family Guy, the animated comedy built around Peter and the Griffin family.