fix(example): with-typescript-graphql graphql-let package migrate (ve…

…rcel#29996)

## Bug

- Partially fixes vercel#25854 
- Badly specified package dependency version (`graphql-let`). The new major version required manual migration. As specified [here](https://github.com/piglovesyou/graphql-let/releases/tag/v0.18.0).
- In `lib/resolvers.ts`
```Module '"*.graphqls"' has no exported member 'MutationResolvers'. Did you mean to use 'import MutationResolvers from "*.graphqls"' instead?ts(2614)```


## Fixes

- Migrate as described in migration guide for `graphql-let` above.
- Update some npm packages along the way.

examples/with-typescript-graphql/.babelrc

@@ -1,3 +1,4 @@
 {
-  "presets": ["next/babel"]
+  "presets": ["next/babel"],
+  "plugins": ["graphql-let/babel"]
 }

examples/with-typescript-graphql/.gitignore

@@ -34,7 +34,7 @@ yarn-error.log*
 .vercel
 
 # graphql-let
-__generated__
+.cache
 *.graphql.d.ts
 *.graphqls.d.ts
 .cache

examples/with-typescript-graphql/package.json

@@ -19,20 +19,22 @@
     "react-dom": "^17.0.2"
   },
   "devDependencies": {
-    "@graphql-codegen/cli": "^1.17.8",
-    "@graphql-codegen/import-types-preset": "^2.1.8",
-    "@graphql-codegen/plugin-helpers": "^1.17.8",
-    "@graphql-codegen/typescript": "^1.17.8",
-    "@graphql-codegen/typescript-operations": "^1.17.8",
-    "@graphql-codegen/typescript-react-apollo": "^2.0.6",
-    "@graphql-codegen/typescript-resolvers": "^1.17.8",
+    "@graphql-codegen/cli": "^2.2.1",
+    "@graphql-codegen/import-types-preset": "^2.1.6",
+    "@graphql-codegen/plugin-helpers": "^2.2.0",
+    "@graphql-codegen/typescript": "^2.2.4",
+    "@graphql-codegen/typescript-operations": "^2.1.8",
+    "@graphql-codegen/typescript-react-apollo": "^3.1.6",
+    "@graphql-codegen/typescript-resolvers": "^2.3.2",
     "@types/react": "^16.9.46",
     "@types/react-dom": "^16.9.8",
     "@types/react-test-renderer": "^17.0.1",
-    "babel-jest": "26.3.0",
+    "@types/jest": "^27.0.2",
+    "@types/mocha": "^9.0.0",
+    "babel-jest": "27.2.5",
     "graphql-let": "^0.18.6",
     "graphql-tag": "2.11.0",
-    "jest": "26.4.0",
+    "jest": "^27.2.5",
     "react-test-renderer": "^17.0.1",
     "typescript": "^4.5.4",
     "yaml-loader": "0.6.0"