Are there any good rules, when can I omit /person/ in the sentence? Or it is like in Polish, Spanish, that the verb describes who does what and thus there is no 'golden' rule to be seen as a 'gentleman' who anyway uses "eu am" instead of "am"? : )
Usually, in Romanian, if it's not understood from the verb conjugation you understand it from the context. For example, we have the verb "beau" which either means "I drink" or "They drink". So, If you are talking about your day, or about you in general, you can skip tge pronoun and it will pass off as a first person singular verb. If you are talking about someone else, starting the first sentence with the pronoun, you don't have to use the pronoun again, or at least not in every sentence.
I think it's because you're supposed to transcribe what you hear, rather than translate a sentence. So if the clip says "nu am", that's the correct answer.