Alright, let's tackle this. The user wants each term in the text altered with three synonyms, but to keep brand names intact. First, I need to parse the text to identify the terms that can be replaced. Let me go through the text line by line.

Given the ambiguity, I'll proceed to replace each term except for the brand names (if any) and proper nouns. Since "Big Booty" is in quotes and possibly a specific term, I'll assume it's a proper noun-like term here and leave it, or treat it as a phrase where each word is to be replaced. Wait, the user didn't mention any brand names in the current text except perhaps "Bangbros" in the previous example. The current text is about "Big Booty" in the context of adult entertainment. So maybe "Big Booty" is considered a proper noun as the product name. Therefore, I should not replace the words in "Big Booty".

"Is here to stay" – "remains permanent|persists indefinitely|continues enduring".