Air temperature drops approximately 3½ deg F (1.94 deg C) per 1000 feet (304.8 meters) above sea level. Here.
Wind chill can severely impact your body heat especially combined with elevation. Here.
Both of the above, need to be taken into account for your planned run. Take them seriously and dress accordingly.
Rain with wind at elevation on unprotected skin can result in hypothermia even quicker.
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