Hope you're doing well, or at least not worse. I have felt (and at the moment, feel) similar to what you have described. I find it difficult to see the point in doing much of anything and I can't even conceive of a future that would be worth fighting for.
What is important to understand though is that this is not you, it is depression. I know what a leap of faith it can be to conjure up the will to even start the process of getting help, but see if you can get yourself to just do 1 step in the process. I think you said you have a mental health care plan, so try to commit yourself to just make the appointment. Once that day arrives, just physically go to the place. You don't even need to commit to saying anything. Even though I find even these baby steps difficult to do, but over time I've also practiced telling myself "I've got nothing to lose just by doing this thing (making the call, going to the place, etc.). Even if it sucks, I have nothing better to do". Once I'm there, the thought becomes "meh, I'm already here and can't be bothered to turn around again, so I might as well just do the session".
My experience with therapists and psychiatrists so far has also been disappointing as well, which I know makes the motivation to try again even harder to find. But what have you got to lose by trying? Nothing. What do you have to gain? Everything. I have to believe that ultimately it will be worth it, even if emotionally I don't really care. It's clear by the fact that you've posted on here that you want to want to care (if that makes sense), even if you don't care now, so there is still fight left in you.
There are a number of psychologists who do online or telecounseling, so you don't even have to leave your house.
Hope it at least helps to know that you are not alone in feeling this way.