Blue Iris Version 5.5.5.1 fixed the issue with loading DeepStack 2022.01.1. I tested it and Blue Iris Version 5.5.5.1 now works without having to copy deepstack.exe to server.exe.
I do not think it will break the older version because Blue Iris should have been all along starting deepstack.exe which is in the older versions not server.exe. Below is a screenshot of the folders and files in version 2021.09.1
I found out that later versions of BlueIris (5.5.5.10, 5.5.5.11 for sure) are having problem with Deepstack integration. Now I'm back to 5.5.4.5. and T- and T+ "times" are back to "normal". With these huge T+ time maximum 2 images are analyzed and may triggers "false" canceled.