Lydian Language

Does anyone know the date of the latest inscrption in the Lydian
language. Lydia fell to the Persians under Cyrus, the Archaemenid.
I understand Aramaean was used as the language of administration of
the Empire, but surely Lydian would have continued as a local
language for some time. Did it survive until Hellenistic or even
Roman times?

Any help would be great.

Thanks

John