I would do it. It's just gonna last 3 to 5K miles and be changed out anyway. What are the additives going to do to each other? oil is oil is oil.
Now I will say that I do have one car that I don't mix anything in. I'm very specific about anything I do to that car. But I have owned it since new so I'm just a stickler about that one car.
So if your a stickler about your car, this could raise doubts in your mind as to whether the engine will be ok. Don't do it if your going to convince yourself something is wrong with it.
My opinion of course. I'm no oil scientist. I am an oil consumer. Of which I am fed tons of different types of oil at the stores. Every brand has something "different" and "better" than the next brand. My opinion is big oil companies are just shoving that crap down our throats. Oil is oil. All of which is designed to go in our engines.
Now on another note, I had a friend who had a really bad rear main leak. It would just throw oil out of it. So my friend took all my used oil buckets and any other that he could find to drive this vehicle for a short while. Drove it thousands of miles until he got another vehicle. Just basically doing an oil change every day with absolutely used up oil. Still drove fine. didn't care about different fiscosities or brands or anything. Hell, metal chips for that matter. he used some oil that had a 383 bearing exploded in it. Engine never noticed the shavings. Mixed everything in that one. Even some old oil that had only the viscosity and no weight specifics. OLD oil.