Is it weird to invite my friend on a short road trip with my mom?

My mom has a dentist appointment in a city 3 hours away tomorrow, and im going with her. We are just gonna drive over, go to her appointment, go to Costco, drive by my brother's house to look at it (not go inside because they dont have the keys yet) then drive back. I like spending time with my friend so I was gonna see if he wanted to go with us. I told my mom this, and she was like "what? We are just gonna drive over and come right back". I said that i won't invite him if you dont want me to. She said that its fine if I do, but its just weird.

Is it weird to invite my friend on a short road trip with my mom?
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