The underlying idea is sound, but it's written by someone who doesn't understand that "collect all the mugs and take them to the kitchen" is still too large of a step. Take one mug, and don't even think about next steps until that's done. If you want to continue, great. If not, don't push yourself.
Repeat tomorrow with another mug and see if you're feeling up to more. So long as you're doing something - anything - every day, you're building up a sustainable low-stress routine that, while ineffective at actually cleaning your room at first, can eventually be built up to something effective.
If you start with something effective but stressful, then it gets abandoned - get the routine established first, then tie effective actions to it slowly enough to prevent it from ever becoming stressful.