[APP-1782] Migrate to new analytics APIs (#9735)

* Migrate logEvent to useAnalytics

* Migrate logger.metric to useAnalytics

* Migrate tricky spot, fix types

* Migrate remaining tricky spot

* Missed one

* Remove metric() from logger

* Migrate useGate to useAnalytics

* Remove all other StatSig mentions

* Update event payload

* Update logger tests

* Mock expo method

eslint/index.js

@@ -8,7 +8,6 @@ const plugin = {
   rules: {
     'avoid-unwrapped-text': require('./avoid-unwrapped-text'),
     'use-exact-imports': require('./use-exact-imports'),
-    'use-typed-gates': require('./use-typed-gates'),
     'use-prefixed-imports': require('./use-prefixed-imports'),
   },
 }