Found the work around. The original ArcGIS blog post says to run the Python exe and in the argument, put the location of the .py file. The Enterprise Systems team says no exe files are allowed to run under the Service Account (gMSA). I rewrote my script to execute as a standalone file. Meaning if python is installed on your machine and you double click the .py file, the script should run without calling an exe. This is Vanilla Python and nicely explained by this video.
With my .py file ready to roll, I scheduled a task on the server to call the .py file and not exe. In the Triggers tab, I was able to schedule a Daily task to run at a specific time. My original requirement was every 5 minutes. The Advanced Settings for the Daily task does not work. The work around I have is set a new trigger every 2 hours instead of every 5 minutes and have the customer accept the solution that the Enterprise Systems team has allowed us to work with. Even that, I will have to schedule 12 separate triggers for the 1 task scheduler.
Either case, thanks for all your comments and suggestions!