This well-received YouTube video claims that Rome annexed Thrace in 45AD and then the Greek City State of Byzantium in 47 AD. Byzantium is also the last surviving Greek City State after the Rome annexed Massalia (nowadays Marseille, France), the Greek city, in 49BC.
Another well-received video claims a similar thing that Rome annexed both Thrace and Byzantium in 45AD.
I found written sources documenting the Thrace event; however, I find no reliable sources documenting the Byzantium event around 45AD or 47AD. Are there any reliable sources for the Roman annexation of Byzantium or any events related to Byzantium around approximately 47AD?
Clarification: I noticed that some other sources claim that Byzantium was a "fairly independent city" until 192AD. I am more interested in the events around 47AD (with an error of under ten years).