The time skip in Cyberpunk: Edgerunners was not really given an exact time frame in the anime. However, we have an idea that the time skip should not have been more than 2 years, and the most probable time frame was that the time skip was only about a few months long.
We had this conclusion because in the Cyberpunk game, the year was 2077, which is basically just a year after the events in Cyberpunk Edgerunners.
In the Cyberpunk game, in a certain bar or hub, there is a drink called “David Martinez”.
When a drink is named after someone, it would mean that the name of the drink relates to the name of a certain Night City legend.
This gives us a conclusion that David’s name was immortalized in the form of a drink during the months of 2076 or in the early months of 2077, and thus giving us another conclusion that the time skip in the anime was indeed only about a few months only or at least not beyond 2 years.