PC Lyendlln's Lute from SG > does it exist?

[Puluin]

I'm looking to acquire Lyendlln's Lute from Siren's Grotto,

https://wiki.project1999.com/Lyendlln%27s_Lute

Does this lute actually exist?
If so, what would be the going price here? 10k ?

[indiscriminate_hater]

Not sure about existence, but I'd imagine it would go for more. A 24 multiplier for strings is pretty huge