I had the same issue. It was because “Mission Story Guidance” was turned off.
If that’s the reason you aren’t seeing it, you can fix it by temporarily turning this option to “full”, press F1 (if on PC) to follow the story, then turn “Mission Story Guidance” right back off.
@reyfor11 Kindly confirm if this solves the issue and then re-post it in the HITMAN 3 bug thread so that IOI know they have to fix this later - even if there is a workaround.