GMAT Sentence Correction (SC) | Re: Priya and her barking toy robot dog

Hi experts,
How can we know for sure what "that" in choice B refer to?
IMHO,the construction is quite strange.The first part mention about her decision to buy two things.The second part tends to convey that what her bought would make her life easier,but which one? either a personal organizer or a robot dog.

Any way it doesn't make any sense to separate the latter information to another independent clause.

Please help clarify
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