I like this one: (c) a dispatch warehouse.
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FKdadazi like a forwarding warehouse.The first person singular personal pronoun is always capitalized by careful speakers, so your opinion doesn't really carry much weight.
petusekIs (c) more or less neutral with respect to regional varieties of English?I can only confirm for myself. The internet has already shown you the range of options.
petusekHow about dispatch store, would that work too?No; a store is a retail outlet to most people.