You shouldn't store your atty with a filled cart in it.
If you store a tank cart with a cartridge with
juice in it it will all leak out, as you found. If its just overnight on your bedside table, then lay it on it's side. I do this, for those times I wake up in the middle of the night and need to VAPE (I did the same when I smoked, I smoked 3-5 times during the night, outside. But now I keep a full tank ego on my bedside table laying on it's side, and it won't leak out.
But if you are talking about taking off one of the attys and sitting it down somewhere for a few days, then I would take the tank out, blow through it from the battery side several times, prime it through the hole on the battery side, and leave it sitting upside down on a paper towel or something.
Just my experience, good luck!