It would be ideal to have an automated process to deploy Patches on the weekend after Microsoft official patch release date.  Deploy these patches to our Test Group.

Then the Week AFTER we deploy the same patches company wide.

Currently your only process is to pick 1st, 2nd, 3rd, 4th, 5th Day of the month.  Which does not work every month.

How can we bend the automation configuration around this unique date that Microsoft deploys updates on?

Microsoft pushes patches on Patch Tuesday.  aka 2nd Tuesday of each month.
We can only deploy patches with reboots on the weekends to avoid interruptions in the middle of the week.

Need a Deploy Patch on Friday/Saturday/Sunday after 2nd Tuesday of each month to Group A.
Followed by Deploy Patch on Friday/Saturday/Sunday after 3rd Tuesday of each Month to Remote A, B & C.