Something this update pointed out that hints that mc will live is what the doctor said about getting the tumor small enough to remove. Chances are, at least halfway through or 75% done, we'll reach the point where the tumor becomes removeable and that in turn leads to the rest of the game being mc recovering, figuring out what to do now that his future is no longer limited, and figuring out which of the girls he wants to be with.
I think it'll be the opposite. Right now he doesn't seem like he wants to keep going or that maybe he has given up hope. I think forming a relationship with some, all, or someone in specific throughout the story is going to give him some hope for the future, or,
courage or the will to go through with the procedure personally. When he reaches that point, he will probably start radiotherapy and/or chemo and then aim to get it surgically removed/reduced.
Also, for some procedures, they will shrink it with steroids slightly first, then surgically reduce it first before doing radiotherapy and/or chemo AFTER to clean up the rest and prevent it from growing back/bigger. There are a lot of factors that go into this, and I'm no doctor, but without going into details, I do have firsthand experience with this procedure from a direct family member...
Either way I think at some point in the story, after developing a relationship(s), he'll give it a try. For his own future, and his future with (whoever you choose as your LI). Or at least, I hope he does try. It's always worth fighting for and I will always believe that.