Operator 31538A
Hello
I think the 39-031 should work on your window. However, you would need to move the sash bracket over a bit to meet the short arm. Another option would be to see if you could swap out the new link arm with your 5-1/4" arm.
Take a look at the 39-031 operator, along with the related sash brackets and parts. Also, see the related videos to help with the installation.
We can't make any guarantees but the 39-031 would be our best replacement option. There is a good chance that you could adapt this operator to work for your repair as long as you are able to adjust the position of the sash bracket to compensate for the difference in the length of the link arm. As for the detach clip, you should be able to take it off and reattach it on the bottom of the arm if needed. If you decide to give it a try and run into any problems, our return policy can be found here.
To use the 39-031, you would most likely need to move the sash bracket towards the operator 13/16" to compensate for the difference in arm length.
In the past, I have also opted to attach the longer arm from the original operator to a new style like the 39-031 using the 62-014 rivet. Ultimately, it is up to you and which replacement method you are most comfortable with.