chore: bump react-native and other packages (#2598)

# Summary

* Bump react-native and other packages (babel, eslint, prettier,
`@types`) to resolve errors in
https://github.com/software-mansion/react-native-svg/pull/2586
* Cleanup unused/unnecessary devDependencies 

## Test Plan

Lib should work exactly the same as before.

babel.config.js

@@ -1,4 +1,3 @@
 module.exports = {
   presets: ['module:@react-native/babel-preset'],
-  plugins: ['@react-native/babel-plugin-codegen'],
 };