Give the possible Eureka 5.X its own weapon, and separate Relic from it

[Kalise]

You have the raid weapon, the best weapon but hard to get.
You have the primal weapon, 2nd best but significantly quicker to acquire.
You have the relic, sometimes 2nd best, sometimes 3rd, rarely 1st. Depends on patch cycle.

Given FFXIV's rather bland gear, where is the theoretical fourth 'Eureka' weapon going to go?

It can be the "My preferred content sync's me down to nublet gear anyway so I have literally no reason to care about BiS weapon lists because they all come out as garbage in 'Eureka' anyway" weapon.

Heck, make it BiS for doing BA style content in 'Eureka' if you really want.