Point functions-exp to the right typing file (#3322)

* point to the typing file in functions-exp

* use app-exp as the service name in functions

* Create chilled-beers-chew.md

Author: Feiyang1

.changeset/chilled-beers-chew.md

@@ -0,0 +1,3 @@
+---
+
+---

packages-exp/functions-exp/package.json

@@ -49,7 +49,7 @@
   "bugs": {
     "url": "https://github.com/firebase/firebase-js-sdk/issues"
   },
-  "typings": "dist/index.d.ts",
+  "typings": "dist/functions-exp-public.d.ts",
   "dependencies": {
     "@firebase/component": "0.1.15",
     "@firebase/functions-types-exp": "0.0.800",

packages-exp/functions-exp/src/config.ts

@@ -32,7 +32,7 @@ const factory: InstanceFactory<'functions'> = (
   region?: string
 ) => {
   // Dependencies
-  const app = container.getProvider('app').getImmediate();
+  const app = container.getProvider('app-exp').getImmediate();
   const authProvider = container.getProvider('auth-internal');
   const messagingProvider = container.getProvider('messaging');