Sorry that I have just read this. I am glad that you got the egg out. I haven’t dealt with cloacitis or vent damage before. I wonder if she might have had a prolapse before and possibly got pecked around her vent. There are some other conditions that include papillomas, fungus infection and others. This article has some interesting reading:
https://www.dvm360.com/view/cloacal-disorders-and-diseases-proceedings
You could try to get to her temporarily stop laying eggs by placing her in the dark for 16 hours a day for a few days.
https://www.dvm360.com/view/cloacal-disorders-and-diseases-proceedings
You could try to get to her temporarily stop laying eggs by placing her in the dark for 16 hours a day for a few days.