Syncing multiple audio conversational pists after cut/cleaning

Hello everyone,

Context: I recently started recording podcasts using a set up composed of a zoom H6 and 3 mics. The podcast consists of 3 persons talking together, sometimes overlapping, sometimes laughing at each other jokes but mainly answering to each other in a fast pace.

Explanations: Tracks need to be cleaned of little noises, missed sentences, stuttering etc. I'm using the razor tool to remove non-wanted parts for 1 second or 2 every time. However, as the clean-up progresses, the tracks begin to lose synchronization and the questions and answers from the participants are no longer in rhythm at all.
For example, I need to cut a lot of stuttering from Person A track. At the end of the mix, questions from Person A start at exactly the same time Person B is going to answer.

My question is : How can I make a cut in all tracks at the same time to ensure that the tracks remain synchronized?
I would like to be able to do that for all tracks at the same time and not for the three tracks separately.

Or if not possible
How could I clean the tracks and make sure they stay synchronized?

I'm sorry in advance if the answer is very obvious, I scrolled through the internet for a little while before coming to the forum.
If you feel that I'm going in the wrong direction, any advice is welcome.

Thank you a lot for reading me and thank you for your help.