As of my last knowledge update in January 2022, the Sony PlayStation 5 (PS5) is indeed available in two main versions: the Disc Edition and the Digital Edition. Both versions include a wireless controller, the DualSense controller, in the package. The primary difference between the two editions is the presence of a physical disc drive in the Disc Edition, allowing users to play physical disc-based games, movies, and other media.

Here are some key points about the Sony PS5 PlayStation 5 Console Disc Version and its wireless controller:

1. Disc Version: This version of the PS5 comes with an Ultra HD Blu-ray disc drive, allowing users to play physical game discs, Blu-ray movies, and other optical media.
2. Wireless Controller (DualSense): The PS5 comes with the DualSense wireless controller, which features haptic feedback, adaptive triggers, a built-in microphone, and improved ergonomics compared to its predecessor, the DualShock 4.
3. Gaming Experience: The DualSense controller is designed to enhance the gaming experience by providing more immersive feedback and responsiveness. For example, the haptic feedback allows players to feel a variety of sensations during gameplay, and the adaptive triggers can simulate different levels of resistance.
4. Availability: The availability of the PS5, including its different editions and accessories, can vary based on region, demand, and production capabilities. Due to high demand, the PS5 has been challenging to find in stock at times.

For the most current information on the Sony PS5 PlayStation 5 Console Disc Version and its availability, I recommend checking the official Sony PlayStation website or contacting authorized retailers. Keep in mind that the information provided here is based on my knowledge as of January 2022, and there may have been updates or changes since then.