The sentence implies that do you want to record the chat and save the result. However, in the applied translation, "ضبط شده" is used, and it means that the chat was already recorded. So, it should be "ضبط" instead of "ضبط شده".

ضبط شده is correct (it's not a word, شده is the verb) but it can be removed since we have it in the second sentence (شود).
The second line in currently applied translation is the exact translation but it's not in good Persian form; it correct form for exact translation is شرکت کنندگان در حال ضبط بودن این گفتگو را خواهند دید which is not beautiful so I changed "seeing" to "noticing" and made some other minor change to make a simple understandable sentence which has the same meaning with other words.