All fixed blade knives can (but not necessarily always) fall under the umbrella of "bowie knife," or "dirk knife" if they are carried concealed (per
§4–101). A police officer discovering any fixed blade "concealed on or about the person" has the discretion of whether or not they want to cite or make an arrest for CDW.
I have seen cases of this type go either way (and I don't mean "I heard from some guy," I mean I actually went to the courthouse and pulled the record)
Generally speaking, fixed blades of a utilitarian nature, carried in the absence of any apparent criminal intentions, will be thrown out by the judge rather than prosecuted.
If the knife is not concealed, it is not illegal to carry it. But your use of the term "discreetly" might be cause for concern. A reasonable person encountering and interacting with you should be able to not only see the knife, but identify that it is a knife. If they can't, that is concealed.