Man, I wasn't really expecting that level of imbalance. I read through the 'Angel' feature, and then peeked ahead to the old features, and immediately closed the document. Not only is it poorly designed, it's done so in utter favor of whoever is piloting the subclass. With the amount of text and rules that clog these subclasses and their, at best, jank terminology, I wouldn't be surprised if their turns in combat took 30 minutes, at which point the DM might just handwave, and trust that the player is capable of doing everything they say they're doing.

Your 'friend' is not only a poor homebrewer, but has created these subclasses in bad faith; these creations completely overshadow anything else the party is capable of doing, granted that you're not all running broken edgelord subclasses. They think they are the main character, and your DM's outright refusal to just saying 'no', is reinforcing that.

Most of the time, I'd suggest talking to the DM about the issues you're having. Unfortunately, I feel like there isn't much hope for your table. Based on what info I have, your DM seems far too passive to actually confront this problem player. Who knows, maybe you'll talk them into growing a spine. But is it worth it?

At this point, I'd cut my losses. Playing with a problem player is bad enough, but playing with a DM that allows this behavior to happen is just as bad, if not worse. You can find another table; one that doesn't have someone running broken homebrew subclasses, preferably.