Up to 8 Zoom confidential meetings at the same time from the same Zoom link?

We are looking to host 4-8 confidential Zoom meetings at any given time (e.g., 4-8 different participants in separate Zoom rooms all at the same time) to be accessed by the same Zoom link. We investigated break-out rooms as an option, with pre-assigning and automatically assigning, with the plan being to admit one participant at a time and assign them before admitting another. A potential issue with this is human error - accidentally clicking admit twice and admitting two participants into the same main room could happen in this scenario and that will disrupt participant confidentiality. Are there other options to allow multiple different rooms in a Zoom meeting from the same Zoom link with absolute confidentiality? Or would staff NEED personalized Zoom links?