Patch Deployment Scheduling

Patch Deployment Scheduling

I am working on creating groups for automatic deployment of patching.
My goal is to have everything go to the test group for approval / disapproval.
A week later have a larger group pick up the approved patches.
Finally, the rest of the computers picking up approved  patches a week after that.

my question is, If I set the group to "scan, download, and deploy missing patches." on a specific date, and they happen to be turned off that day. Will they pickup the "scan, download, and deploy" the next time they are turned on?

Or, is there a better way to achieve this result?

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