Upgrade API, implement XRPC rework (#4857)

Co-authored-by: Matthieu Sieben <matthieu.sieben@gmail.com>

package.json

@@ -52,7 +52,7 @@
     "open-analyzer": "EXPO_PUBLIC_OPEN_ANALYZER=1 yarn build-web"
   },
   "dependencies": {
-    "@atproto/api": "0.12.29",
+    "@atproto/api": "0.13.0",
     "@bam.tech/react-native-image-resizer": "^3.0.4",
     "@braintree/sanitize-url": "^6.0.2",
     "@discord/bottom-sheet": "bluesky-social/react-native-bottom-sheet",
@@ -208,7 +208,7 @@
     "zod": "^3.20.2"
   },
   "devDependencies": {
-    "@atproto/dev-env": "^0.3.5",
+    "@atproto/dev-env": "^0.3.39",
     "@babel/core": "^7.23.2",
     "@babel/preset-env": "^7.20.0",
     "@babel/runtime": "^7.20.0",