I can't think of an example of where the answer given - 'the construction hardly starts' - is used in American English.
except that 'has' makes it another verb tense Maybe 'is scarcely beginning' or 'is just starting'
Maybe, "The construction is barely beginning"? This sentence is awkward in US English
I believe The construction is scarcely beginning is OK also. I agree with respreng!
In english could we simply say "construction is just starting'. i.e. "The" is unnecessary