Help improving ‘ready-to-enjoy’ drink. (Expresso Martini)

As the title says, I picked up a Bols expresso martini ready to enjoy cocktail, but I find it tastes too much like alcohol and not enough actual coffee taste for my personal preference. I tried adding cream thanks to some recommendations, and it was better, but still not something I’d enjoy on the regular.

I like cocktails where you don’t really taste the alcohol much or at all, or if you do it’s a background flavour. Any ideas on what to add to it to make it better? I would like to enjoy the rest of the bottle.

Thanks!