In the last activity, the preposition with was used to show how something was done.
We can also use with to show who or what was also there.This is called accompaniment.
I guess even though she was neutral, she didn’t want to be seen with me.
I guess even though she was neutral, she didn’t want to be seen with Aunt Fiona.
I guess even though she was neutral, she didn’t want to be seen with Mr Adjembe's briefcase.