Kinda sounds like my approach.
I do a 2 or 3 re-reads for internal consistency & typos & the like, and make a few changes for dialog that doesn't sound quite as good as it did the first time. But there needs to be a day or more between them. And each time thru has to be making fewer & smaller changes or else something is very wrong.
When I've pasted into Tapas, I read it there one last time; and I have made a few tweaks even then, but then I have to let my baby go & see if she makes any friends.