You may be right. I thought it was strange to worry about 3 months old case in NYC.
If it's over a year, as you show, this can certainly happen in this busy field office.
What's the residence since date on your GC @JessnTrev ?
You need / needed to file I-751 to remove conditions. You can do it on your own.
If you filed I-751 jointly with US citizen spouse, you need to file a new I-751 with divorce waiver.
Once you get receipt for new case, write a letter to USCIS asking to withdraw your old case mentioning you filed a new case and it's number.
This should have been thought through before applying for N-400.
Now, it's either not going to be a problem, or you'd get RFE.
Keep us posted and good luck at the interview!
No attorney will guarantee outcome. The problem is, there's a lot of discretion involved and no black and white answers. One person applying will be OK, while other denied. Break in continuous residence does not result in losing LPR status per se. Losing status typically occurs when the ties are weak and resident spends way too much time outside the US.
In most cases, the safest approach is waiting until applicant clearly meets the criteria. If they don't care about losing filing fees, they can apply.
Did they keep lease or house during these trips? That's some good evidence.
Does it match the description given for divorce certificate in Department of State visa reciprocity?
https://travel.state.gov/content/travel/en/us-visas/Visa-Reciprocity-and-Civil-Documents-by-Country/Brazil.html
You cannot apply for their naturalization. Your parents apply for naturalization themselves after they meet all requirements, including speaking English, understanding all questions, knowing US civics history etc.
Yes, that may be helpful. Do not apply too often, it shows desperation.
In your opinion. Not in the eyes of officer, otherwise visas would have been granted.