How do I get the smell of smoke out of a coat without ruining it?

I was recently given a coat as a gift. While I like it, it smells like smoke. I do not smoke and I don’t like the smell.

The laundry tag on the coat advises these things for ”Washing”:

handwash with cold water
do not bleach
do not dryclean
do not tumbledry
dry flat
do not iron

I don’t feel that cold water is enough to get this smell out. Is there another way I can wash this?

Thanks in advance!