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I don't think you need AI for that.

• First, anticipating what groceries are low: Simplest implementation would be a list where the user manually enters additions and removals.
• Secondly searching every flier and website in the city. Okay that one will be a bit trickier. First you'd need to gather a list of all stores in the city, and then look for any deal. The big challenge here is that they don't just have a common API where you check. You either need to program a bot to scrape all their web presences, or convince them to provide the information in a common format.
• The last step seems like it could be related to the traveling salesman problem.

Damn no let me make my mistakes, there are way enough people telling me what to do, I need the AI to create pictures of my cat conquering Europe and that's it

This is ridiculous, just go to prison if you want someone making all of your decisions for you. The intelligence within the walls lets just say is very artificial