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She's agreed to take full care of it (meaning that I have no cat responsibilities what so ever).
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Meaning you have agreed to buy her all kinds of gadgets so that she doesn't have to take care of it at all. The Roomba I can maybe understand, but its not hard to clean out a litter box. It takes a couple minutes. Why not just buy her this:
and let her go to town?
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The idea that someone can't just scoop out the box a couple times a day is mind-boggling to me.
Even more so when the OP says she doesn't even work for a living. What the ...?
Seriously, if she can't scoop out the litter box, I give her zero chance to successfully do one single other thing she has agreed to do regarding the cat. This is really ground zero of the laziness/commitment barometer.