Quitting nicotine + weed cold turkey on the same day

I have been vaping and smoking weed every day for about 5 years now. Recently, I've gotten a really bad cold, and due to my excessive smoking, the symptoms have been stagnant for around 2 weeks now. Im deciding to quit in order to get rid of the cold and also to improve my overall health since I've been having concerning symptoms for a little over a year now. I'm now starting to wonder if quitting both at the same time is a good idea. If it is a bad idea, which one should I start with: vaping or smoking weed? Or am I just trying to trick myself into one of my addictions? I really don't know what to do, so any advice or words of wisdom would be great!