How do I call for the pickup location as a variable in Flow App?

Fulfillment event created only happens when fulfillment starts. If you need to do something when the order is created, you probably should use Order ready to fulfill as the trigger (it runs per fulfillment location). Then check the fulfillment order / assigned location / name field. You can also check .. / delivery method / method_type == “PICK_UP” in case you ship from there as well.

Fields on fulfillment order are documented here: https://shopify.dev/docs/api/admin-graphql/2024-04/objects/FulfillmentOrder