Ah yes where every single publication simply must be the machinations of the capitalist class pulling the puppet strung editors of all news organisations everywhere simultaneously never failing in their aim to keep blame of climate change away from capitalism.

OR

The BBC is choosing to answer a dumb question with scientific rigior to show that "no, breathing out does not contribute to climate change" because some portions of the general public are really gullable and actually asked this question.

But the bottom line is whilst this is a truly idiotic question I'd rather those people asked it because it means there's still a spark of curiosity and desire to learn rather than live in ignorance.