Bhagavad Gita, Chapter 9, Verse 33

What need to mention holy Brâhmanas, and devoted Râjarshis! Having obtained this transient, joyless world, worship Me.

If this real path is open to absolutely everyone, it's described as making even more sense for those already well positioned.

This isn't a new promise, it's a real, logical extension of the previous verse, if the path holds for the hardest cases, it holds for easier ones too.