It would depend on the dosages you're taking. Assuming you have Ultracet(as I think its the only preparation with APAP) then taking a few would be fine. However if you're going up to the 400mg limit then yes a CWE would be advised because you're reaching around 3500mg of APAP. While it is not a lethal dose of APAP, it sure is hell aint good on your health. So the decision is yours.
Now rather if you can CWE tram then that's different. You could check out the megathread but I believe it is since it's soluble in water.
Good luck, and be safe. And be especially cautious if you're combining anything because there are a lot of things you shouldn't.