turn the paper over

As long as you wipe the parchment paper clean after each batch you should not have any problems as the silicon is impregnated inside the paper and not the outside of it.

Thanks folks! I'm off to bake my cookies now.

I've re-used parchment paper when baking cookies without issue.

No! You can definitely re-use the parchment paper. If you see droplets of oil/butter wipe it with a clean towel, same advice if you see brown bits of cookie. You can even wipe down when you are done and re-use another day; the paper starts to get brown and brittle after many uses.

I use parchment for granola, and I do change sheets for each batch. But I don't think you have to if the parchment is still intact. In fact, I'm going to try re-using, which means I will have to be more careful.