You own the copy

...which is the entirety of the important part. Once the store sells you the copy, that's it: the copryight holder has no more right whatsoever to say what gets done to that copy. In particular, it does not have the right to dictate to you when, where, or how you may use your property, e.g. by requiring an Internet connection for the fucking thing to run!

The copyright holder's temporary monopoly privilege should not be allowed to supersede or infringe upon the copy owner's actual property rights in even the slightest way. Full stop, end of. The publisher's business model is its own damn problem, not the customer's. If it relies on destroying the latter's rights in order to achieve profitability, the business deserves to fail!