So additional google searches turned up this information:
2 Value will vary based on driving style, track, temperature and weather conditions.
Please note: The tires on Camaro ZL1, Camaro V6 and Camaro V8 models equipped with the 1LE Performance Package are equipped with high-performance summeronly
tires. These tires have a special tread and compound that are optimized for maximum dry and wet road performance. This special tread and compound will have
decreased performance in cold climates, and on ice and snow. It is recommended that winter tires be installed on the vehicle if frequent driving at temperatures
below approximately 5° C (40° F) or on ice- or snow-covered roads is expected.
From
https://my.chevrolet.com/content/dam...tion-guide.pdf
So according to this, the weekly drive to a local store shouldn't be a problem.