One approach to this is to have a hidden field which is automatically incremented on a self-referencing transition in your workflow.
You would then only show the approved transition when this hidden field contains a value of 5 or higher.
There are lots of extensions you can write to this process including keeping a record of who has approved; only allowing a person to approve once; resetting the count of approvals when an issue is returned to an earlier point in the process.
I hope this gives you some ideas of how to approach this.
That is what I thought. I'm curious
Do you know of any documentation you could point me to?
You are correct, there is a lot of logic that could be written as you have spelled out.
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