Fixing my Wii, assistance required

Okay, I received a Banner Brick, I'm prepped to fix it, I'm at the recovery menu, now I need a game with an update higher than my current.

First, I wish to ask does "Muramasa the demon blade" come with a 4.1 update?
If not, then I'm screwed.
If yes, then please continue.

Now, I need to know the exact steps on repair, as to not screw up.

I'm 4.0 USA, Hardware untouched (that means no chips or anything).

No game has the 4.1 update yet, and if you didnt have preloader or BootMii as boot2, you're screwed. You have two options : A modchip and an autoboot disc or a hardware NAND programmer and betwiin.

BTW, an update woulnd't fix a bannerbrick anyway.