She doesn’t need to be swallowing at the stage. It’s all just a learning experience. Let her play with the spoon, let her dip her hands into the puree (if she wants to) and keep offering as you are.
I let my baby suck on the spoon. That helps him swallow instead of just spitting it all out. You want a really soft rubber spoon x
It’s a reflex where they push food out of their mouth until they’re ready. She’ll get there, food at this age isn’t for calories but for the experience.