Is rolling negative equity into a new loan a good idea?

Buyer asks
“Stay put with underwater equinox at 10% or roll negative equity into something new
2020 base equinox, 65k miles, 2 dings. Owe 16k, worth 10-12k?
Pmt is 500/mth for 38more months.
Will have kids in car so cant cheap out i dont think.
Wondering if i find a 0% deal and roll in whatever they let me.
Have emergency fund to come up with downpayment if needed.”
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