They just want to be right all the time and instead of saying the simple words, they will simply dance around and try to use other acts to cover up. Eventually, you will have to give up.

This kind of people are toxic set of people. I do my best to stay away from them.
I also love the way you were reasonable enough to calmly approach your neighbors and settle whatever came up with an apology and reasoning.
Thanks for sharing this with us.
Have a great day!