Hi Jens
It sounds like the identical set up to mine (we ship chocolate and cookies, then offer pick up for chocolate, cookies and other pastry).
You’ll want to:
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For the online delivery products, add both shipping locations to the products
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For the pick up only products, add just the one location
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Then set a shipping fulfilment priority of fulfilling from online first, then pick up
Those steps gave me the right logic, then adjusting the language settings gave me the right customer messages.
Hope that helps