Walkthrough: Reach the next checkpoint after finishing things up with the dinosaur, the one directly before Stone Bridge. This long bridge will continuously spawn enemies to attack you, so use a Cappy Spin Throw to help you get passed them. As you do, don't forget to swing by the right of the bridge along the rocks to find more platforms that lead to more Purple Coins. At the end of the bridge will be even more Purple Coins on top of some fossil blocks to the side.
You should also see a Chain Chomp at the end of Stone Bridge; use Cappy to gain control over it. There will be an 8-bit inscription on a nearby cliff wall, so destroy it with Chain Chomp to reveal the entirety of the mural. A pipe will also appear to take you straight into the 8-biut mural. From there, make your way up the wall by stomping all incoming Goombas. To the left will be a Power Moon that you should obtain as well. Continue up the path to come to the top of Fossil Falls.
Once at the top of Fossil Falls, climb up the pole to find a way passed the Chain Chomps blocking the way. Drop down and then use Cappy to gain control over one of the Chain Chomps. As you try to avoid the other Chain Chomp, crash into fossil blocks in front of you. It will take a few tries, but after breaking down the wall, head forward to battle Madame Broode.