Somewhere in your design process you introduced the small error in dimensions. The way I found it is to add the Joints that are not part of the motion chain first. In this case I took off the problematic Pin-Slot Joint and added the Slider Joint between the table and the stationary post. Next, I decided the two points that I would use for the Pin-Slot Joint and, using the Measure tool, found the very small misalignment between the center of the pin and the center of the slot. I am grateful is was only in one direction! I then simply added it very small misalignment into the Joint Offset.
You asked if you could make Fusion 360 less sensitive, the answer is NO and you do not want to do it even if you could. Precision design and manufacture is at the heart of all machinery and you could never achieve it without the accuracy Fusion 360 offers. I designed machinery, most of my working life, and on a lot of interacting parts the tolerance of fit was in the 0.0001" to make the machine function smoothly.
My advise is to model all your components with a reference to the model Origin, if not right on top of it, and you will have the automatic precision you need.
John Hackney, Retired
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