Question about a Roman name

[diegis]

I am curious to know more about the name "Geta" used by Romans (like that of brother of Caracalla).
As far as i know this is the singular for Getae (Dacians) and the meaning will be so "the Getian".

I will really apreciate if someone know when this name appeared to be used first in Rome

I saw as well the idea that the name "Got/Goth/Goths" appearead and was start to be used in Dacian areas soon after Caracalla imposed a "damnatio memoriae" for his brother Geta, so Got was a replacement for Get, as Caracalla forbid the use of Get/Geta/Getae, names that remind about his brother.