Should "Valhalla Honey Beer" (See Nov/Dec 2019 Zymurgy) be carbonated?

Beer Recipes
1

Skol!

I am planning to brew the extract version of the Valhalla Honey Beer recipe found in the November/December 2019 Zymurgy Issue. I have my delicious local raw honey ready to go, and plenty of 3787 yeast that was harvested a couple of weeks ago.

Question: Is it appropriate to carbonate this style? Will the yeast even be able to do any work once the SG is down to 1.002-3 from 1.112 if I add sugar before bottling?

Recipe link here: https://www.homebrewersassociation.org/homebrew-recipe/valhalla-honey-beer/

Disclaimer: I’m new to brewing (about a year) and I’m still learning the basics.

2

Looking at a couple of images from untapped, there looks to be a head on it.  How much carbonation, is the question.