Update private-service.md

Author: kevinkyyro

docs/production-deployment/cloud/references/regions/private-service.md

@@ -1,4 +1,5 @@
 | Region                 | Private Service Connect Service Name                                                      |
 | ---------------------- | ----------------------------------------------------------------------------------------- |
 | `asia-south1`          | `projects/prod-d5spc2sfeshws33bg33vwdef7/regions/asia-south1/serviceAttachments/pl-7w7tw` |
+| `us-central1`          | `projects/prod-d9ch6v2ybver8d2a8fyf7qru9/regions/us-central1/serviceAttachments/pl-5xzn`   |
 | `us-west1   `          | `projects/prod-rbe76zxxzydz4cbdz2xt5b59q/regions/us-west1/serviceAttachments/pl-94w0x`    |