Through (a) critical engagement with philosophical texts, I examine the phenomena and provide an in-depth analysis.
This is a line I am writing. The noun "engagement" seems tricky. Scrolling down dictionary entries, it seems to me this sense I am using in my writing is "the feeling of being involved in a particular activity" (Macmillan) or "the fact of being involved with something" (Cambridge). Both these sources define the noun as uncountable. However, "engagement" is a count noun when used to describe battles. Dictionary examples:
a military engagement
Heavy engagements are reported between rebels and government forces.
This makes me wonder if I can say "a critical engagement with texts". So is the noun a mass noun, a count noun, or either? Is the article needed/optional/incorrect?