Try to use your backup PCB supplier with a good quality assurance system. Meanwhile, give feedback to these suppliers and ask for quality development.
This usually can be caught by the board manufacturer, but cheap board houses offer testing as an optional add-on.
If the errors are with the design, but not with the manufacture.
A good factory may recognize them help you fix the error by cutting and jumping, especially if the design is low speed and low current. What’s more, Good technicians are nearly magical with their ability to get tiny wires into tiny spaces!
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