The 39-099 Andersen Operator is indeed non-handed, meaning it should fit either left or right handed windows that are meant to use it. For both types of operators you're looking to replace, it would be best to send pictures of the original hardware you're working with. Please show us your old operators in their entirety, link arm and body included. A bird's eye view, with the window open, would be best. We'll do our best to assist you from there.
Hey there. Bob's not here today, but I'll do my best to assist you.
What you have here is a casement window, not an awning window. The 39-099 is not what I would recommend for you even if it did work for the other side since it's meant for an entirely different window setup. This was the wrong part for the job.
Your old operator looks closer in design to our 39-094, or 39-150 (depending on the length of the arm). These come in left and right handed varieties, which would be ideal for your setup. See our 39-095 and 39-151 for the opposite handed version of the two respective products mentioned above.
So to reiterate, you don't want either the 39-099 or the 39-331. Instead, I'd suggest either the 39-094 and 39-095, or the 39-150 and 39-151. The only difference between these pairs is the length of the arm, so checking that should be your next step. I'll share our specs below for your review.