[v4.13] PYTHON-5406 AsyncPeriodicExecutor must reset CSOT contextvars before executing (#2367)

Co-authored-by: Noah Stapp <noah.stapp@mongodb.com>

Author: blink1073

.github/workflows/release-python.yml

@@ -16,7 +16,7 @@ env:
   # Changes per repo
   PRODUCT_NAME: PyMongo
   # Changes per branch
-  EVERGREEN_PROJECT: mongo-python-driver
+  EVERGREEN_PROJECT: mongo-python-driver-release
   # Constant
   # inputs will be empty on a scheduled run.  so, we only set dry_run
   # to 'false' when the input is set to 'false'.