The ordinary experience for someone viewing a magic act is that something impossible has happened. The fact that we know, logically, that it cannot be the case doesn't change the fact that what we experience is impossible. It's unexplainable by the majority of viewers.
If the argument is "magic doesn't exist, therefore what you experienced is entirely normal and unremarkable" then frankly the interlocutor just don't get the point of why people watch magic.
>Whereas magic enables people to experience the impossible
Now you're just playing with the fact that "magic" has two meanings, even if the context is well understood. The sentence is clearly worded, and the only logical interpretation is akin to "video games enable people to experience the impossible", which I find totally valid.
Someone really didn't put much thought into this statement.
And all the references to Project Magic does lead me to consider who put them up to proposing this