The increasing complexity of corporate digital design, goal setting and management, for which the power of classical scientific approaches to management is insufficient in the digital economy, is noted. In the digital economy, the known principle of the impossibility to automate chaos is replaced by a need for situational control based on providing multi-level fully functional project management using artificial intelligence (AI) and artificial general intelligence (AGI). At the same time, the system of distributed situational centers can become an effective tool for supporting strategic goal-setting. Much that has been done in this field and in the field of AI is of profound significance, but the classical approach to AI cannot embrace the different levels of the subjects’ emotions, consciousness, and the collective unconscious. The aspects of breakthrough and disruptive management urgently need to be developed. Attention must be focused on the issue of collective decision making under conditions of uncertainty causes and in unforeseen situations. Priority should be given to the socio-humanitarian and collective cognitive aspects of AI applications. Under these conditions, distributed situational centers system and some methods of AGI become the main cross-cutting digital technologies for ensuring corporate strategic goal-setting in the digital economy.