the James Webb Space Telescope (JWST) has not yet been launched and deployed. The JWST is scheduled to be launched in late 2021, and its mission will focus on various aspects of astronomy, including the study of exoplanets, galaxies, and the early universe.
The search for mega-structures or advanced extraterrestrial civilizations, such as Dyson Spheres, is not the primary objective of the JWST. Its primary goal is to observe and study the universe across different wavelengths, including infrared light, which will provide valuable insights into a wide range of astrophysical phenomena.
While the JWST's advanced capabilities may indirectly contribute to our understanding of distant objects and phenomena, it is not specifically designed or equipped to identify mega-structures. The search for signs of advanced civilizations is an ongoing field of study and typically involves a combination of astronomical observations, data analysis, and theoretical investigations.
It's worth noting that as scientific missions like the JWST continue to explore the cosmos and collect data, new discoveries and insights may emerge. However, as of now, I am not aware of any specific findings or observations by the JWST related to mega-structures or Dyson Spheres. It's always best to consult the latest scientific literature and news sources for the most up-to-date information on astronomical discoveries and missions.