build(deps-dev): bump typescript from 4.9.5 to 5.2.2 in /example

Bumps [typescript](https://github.com/Microsoft/TypeScript) from 4.9.5 to 5.2.2.
- [Release notes](https://github.com/Microsoft/TypeScript/releases)
- [Commits](microsoft/TypeScript@v4.9.5...v5.2.2)

---
updated-dependencies:
- dependency-name: typescript
  dependency-type: direct:development
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <[email protected]>

example/package.json

@@ -51,7 +51,7 @@
     "jest-circus": "^29.6.0",
     "jetifier": "^2.0.0",
     "metro-react-native-babel-preset": "^0.76.7",
-    "typescript": "^4.4.3"
+    "typescript": "^5.2.2"
   },
   "detox": {
     "testRunner": "jest",

example/yarn.lock

@@ -2796,7 +2796,7 @@ __metadata:
     react-native-screens: ^3.22.1
     react-native-svg: ^12.1.0
     react-native-vector-icons: 9.2.0
-    typescript: ^4.4.3
+    typescript: ^5.2.2
   languageName: unknown
   linkType: soft
 
@@ -8365,23 +8365,23 @@ __metadata:
   languageName: node
   linkType: hard
 
-"typescript@npm:^4.4.3":
-  version: 4.9.5
-  resolution: "typescript@npm:4.9.5"
+"typescript@npm:^5.2.2":
+  version: 5.2.2
+  resolution: "typescript@npm:5.2.2"
   bin:
     tsc: bin/tsc
     tsserver: bin/tsserver
-  checksum: ee000bc26848147ad423b581bd250075662a354d84f0e06eb76d3b892328d8d4440b7487b5a83e851b12b255f55d71835b008a66cbf8f255a11e4400159237db
+  checksum: 7912821dac4d962d315c36800fe387cdc0a6298dba7ec171b350b4a6e988b51d7b8f051317786db1094bd7431d526b648aba7da8236607febb26cf5b871d2d3c
   languageName: node
   linkType: hard
 
-"typescript@patch:typescript@^4.4.3#~builtin<compat/typescript>":
-  version: 4.9.5
-  resolution: "typescript@patch:typescript@npm%3A4.9.5#~builtin<compat/typescript>::version=4.9.5&hash=289587"
+"typescript@patch:typescript@^5.2.2#~builtin<compat/typescript>":
+  version: 5.2.2
+  resolution: "typescript@patch:typescript@npm%3A5.2.2#~builtin<compat/typescript>::version=5.2.2&hash=14eedb"
   bin:
     tsc: bin/tsc
     tsserver: bin/tsserver
-  checksum: 1f8f3b6aaea19f0f67cba79057674ba580438a7db55057eb89cc06950483c5d632115c14077f6663ea76fd09fce3c190e6414bb98582ec80aa5a4eaf345d5b68
+  checksum: 07106822b4305de3f22835cbba949a2b35451cad50888759b6818421290ff95d522b38ef7919e70fb381c5fe9c1c643d7dea22c8b31652a717ddbd57b7f4d554
   languageName: node
   linkType: hard