Yes, note rule update 30: it has to touch the inside (area) of the circle.
If you want to have a basket, I think you need to make the basket (or rather, whatever the robot needs to lift the model) part of the Apprenticeship model.
While the Apprenticeship model isn't subject to a junk penalty (rule update 7), a basket used for carrying the model is a strategic object (rule 14), and as such, subject to a junk penalty (rule 32) if left outside base when the match ends.
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