今度is a versatile word that can mean this time, next time, or another time. In this context, emphasized by こそ, it specifically refers to the current instance or a very near future opportunity that has just arrived.
That is how Fuguro works. It brings 今度 back for review right before you forget it, each time a little later, until it sticks for good. You hear it spoken aloud, and you meet it again in stories you can already read. The first five levels are free.