I love, love, love the trope “Avengers don’t know Daredevil’s identity but try to include him in the team and horribly misinterpret signs of his disability” in all of its incarnations, but please consider:
Matt, realizing this is going to be an issue, decides he needs someone there to cover for him if he’s going to hang out at Avenger’s tower. So he asks to bring along the only vigilante that knows his identity: Frank Castle.
Tony: Sorry, what? You want to bring The Punisher to movie night?! Why?? Matt, panicking: Because… we’re… dating.
And now not only does Frank have to go to fucking happy hour with Captain America, not only does he have to snatch papers out of Matt’s hands so no one notices that he can’t read, not only do the Avengers all think he’s borderline illiterate because he reads everything out loud, but now he’s been roped into the stupidest fake dating scenario the world has ever seen.
Bonus: Natasha and Clint figure all of this out but let it go on because they find it incredibly funny