When opening a project file (.aprx) in ArcGIS Pro 3.2.1, 3.0.x, and higher containing layers hosted in an enterprise geodatabase, a pop-up prompt displays requesting the entry of credentials. Clicking 'Cancel' triggers the pop-up to redisplay multiple times.
This issue is non-reproducible with the current software. In the ArcGIS Pro 3.4+ development cycle, there are efforts to fix several issues while building out the new user interface for the connection dialog. If the issue can be reproduced with the latest version of the software, contact Esri Support Services.