Obviously my script uses different file names so you should have changed it

Your export settings are ok but one thing I noticed, you were exporting the animation from frame 0 and you mentioned that you created the animation from the frame 120?
2 suggestions here:
- I guess you are working with the driver's animation from Kunos right? I suggest to open the SDK directory and look for a 3Dsmax animation rig, should be somewhere next to the pipeline in multiple MAX formats, don't remember exact location but I guess it is packed in a zip file. Open that MAX file and you will have much better rigged driver animation with more than 200 frames and try to use that one. It is much better, intuitive, there should even be a
tutorial somewhere how to use it. Then you can either import the seat and steering wheel mesh from you car into the animation file (meshes which will help you place the animation to correct place) or import the whole rig to your mod. I prefer first option because you have better visibility, better control and in the end you just need to export some nodes.
Then, if you are creating your animation of hands holding the handbrake after the steering animation, obviously you cant export the whole animation and even when you delete the frames, you will break more than fix. In this case, you should just change the start of the animation to frame 101, not even 100, because your animation needs to start away from the wheel as I mentioned. This frame range can be set in 3dsmax in animation control menu, so set the animation range to 101-130 or whatever covers your braking animation and export it like that. It can't start at 0. The same for the lever.
I hope this helps
Edit: more info about the rig is here:
Custom steering animation rig 1.7 | Kunos Simulazioni - Official Forum (assettocorsa.net)