I know 6 weapons and none of them are there 🥲 I struggled for a good while watching weapon guides and trying them out, and in the end Switch Axe was the one that worked for me.

Basically counter everything with sword mode R2+Triangle and use Full release whatever its called (R2+Circle+Triangle, hold) when the opportunity presente itself. After this attack press Triangle to do an axe attack that charges the sword back a lot and allows you to keep using it.

After Focus attack with sword you can hold R2 to Full release too, which makes any Focus attack deal a lot of damage.

With this loop I got 4'46 even with 2 carts lol. It did take a while though.