[Fix Logouts] Remove buggy hackfix (#9108)

* Rip out the network hack in favor of bluesky-social/atproto#4238

* Bump api pkg

* Debug code

* Revert "Debug code"

This reverts commit 38445f31f4.

---------

Co-authored-by: Eric Bailey <git@esb.lol>

package.json

@@ -71,7 +71,7 @@
     "icons:optimize": "svgo -f ./assets/icons"
   },
   "dependencies": {
-    "@atproto/api": "^0.16.7",
+    "@atproto/api": "^0.17.0",
     "@bitdrift/react-native": "^0.6.8",
     "@braintree/sanitize-url": "^6.0.2",
     "@bsky.app/alf": "^0.1.2",