I measured the thickness at the end where the pads are with a pair of digital calipers, and it is 2.20 mm. The blue and black sections of plastic are flush with each other, there is no lip although there appears to be one in the photo.
Unless you need high-current capability, 1 oz is the default thisckness. Line definition can be impaired with increased thickness, so only use when necessary.
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I have a commercial version of what you are trying to build:
I measured the thickness at the end where the pads are with a pair of digital calipers, and it is 2.20 mm. The blue and black sections of plastic are flush with each other, there is no lip although there appears to be one in the photo.