Stage 3 food with more texture?

I’m having trouble transitioning my 10 month old from purées to table food. I was very surprised that almost all of the stage 3 food I’ve found are still smooth in texture. She will eat teether crackers and yogurt melts, but struggles with bits of food. She also doesn’t want to pick up food and put it in her mouth. Instead she will drop it on the floor or smoosh it around on her tray. However if I put it on a spoon or just put it to her mouth, she will eat it. I mashed up a carrot today and she refused to eat it, though she loves carrot purée.

Are there any pre-made foods that are thicker or more heavily textured purées? The only one I found was Happy Baby chicken vegetable quinoa fiesta. Does anyone know of ones that are similar?

I’m getting worried that she won’t be ready for cake or a cupcake for her 1st birthday. I’ve talked to several people who’s babies are a month younger than her and they are all eating table food on their own. We’re still mostly on purées and yogurt.