I will admit to not having tried this, but surely the "start and wait for approval" will "hang" the process while the first person responds. When they respond only then will the next person in the list receive an email, and repeat until the process eventually times out and you will have to send everything out again meaning the first person will get the email again.
I am not convinced that there is ANY in-built sharepoint flow that gives admins the ability to receive "I agree" responses. I have talked to many sharepoint gurus at companies, all of whom are initially convinced it's trivial to implement using a flow. They soon find out it is not. No one has ever been able to use sharepoint to offer this service. Of course there are third party solutions at a huge cost for the small amount of times the service is needed.
However as I said, I have not tried it ...anyone?