rehome the puppy would be my best advice. You're going to be busy with school and relying on your brother and your parents to step in to help is probably asking too much. Also, bear in mind that dogs don't operate the same way we do. They don't need a friend. They view YOU as their friend. You are their world. Think of it like this. Your dogs world revolves around you. Your time is something they want most of all and now you've added this newbie to the pack and your time will be split between them. You do have to spend time solely with the puppy for socialization and training.
We have to remember not to humanize our dogs. Just because your dog was fine with your pom doesn't mean they're going to accept another dog being brought into the pack. They don't view other dogs like we view other people. My dogs like other dogs but bringing a new one into the pack is a table turner. Also bringing a new dog into the pack when time is crunched anyway only hinders things. I know my girl would have been perfectly fine as an only dog. She loves other dogs but she was content being the only one. She enjoys playing with my male but if he weren't around, she wouldn't miss him. He aggravates her at times.
College and one dog is difficult enough. College and two dogs is even harder despite having help.
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