The way I see it you have two ways to achieve that volume of real traffic, probably not in a month though.
1. Paid ads: Buying ads on multiple platforms, Google, Microsoft, Facebook, LinkedIn etc. Depending on your niche and topics, this requires a massive budget and probably will not be very profitable as it's basically ad arbitrage and that requires you get extremely cheap traffic.
2. Bots on social media: This is cheaper but risky. Your URL could be blacklisted on the platforms, and your bot accounts will most likely be banned too requiring you to create/buy new ones regularly. I don't think this works for general news, but if you're writing trending political news this could work well on Twitter/X.
You should focus on getting on Google Discover, using engaging thumbnails and titles as well as writing about hot topics can help you grow a bit faster but no where near the 5M traffic per month you're aiming for, not for a long time at least.