doc update

README.md

@@ -1,12 +1,16 @@
 # AsyncTCP
-![Build Status](https://github.com/mathieucarbou/AsyncTCP/actions/workflows/push.yml/badge.svg)
+
+[![License: LGPL 3.0](https://img.shields.io/badge/License-LGPL%203.0-yellow.svg)](https://opensource.org/license/lgpl-3-0/)
+[![Continuous Integration](https://github.com/mathieucarbou/AsyncTCP/actions/workflows/push.yml/badge.svg)](https://github.com/mathieucarbou/AsyncTCP/actions/workflows/push.yml)
+[![PlatformIO Registry](https://badges.registry.platformio.org/packages/mathieucarbou/library/Async%20TCP.svg)](https://registry.platformio.org/libraries/mathieucarbou/Async%20TCP)
+
 A fork of the [AsyncTCP](https://github.com/me-no-dev/AsyncTCP) library by [@me-no-dev](https://github.com/me-no-dev) for [ESPHome](https://esphome.io).
 
 ### Async TCP Library for ESP32 Arduino
 
 This is a fully asynchronous TCP library, aimed at enabling trouble-free, multi-connection network environment for Espressif's ESP32 MCUs.
 
-This library is the base for [ESPAsyncWebServer](https://github.com/me-no-dev/ESPAsyncWebServer)
+This library is the base for [ESPAsyncWebServer](https://github.com/mathieucarbou/ESPAsyncWebServer)
 
 ## AsyncClient and AsyncServer
 The base classes on which everything else is built. They expose all possible scenarios, but are really raw and require more skills to use.
@@ -16,3 +20,5 @@ The base classes on which everything else is built. They expose all possible sce
 - All improvements from [ESPHome fork](https://github.com/esphome/AsyncTCP)
 - Reverted back `library.properties` for Arduino IDE users
 - Arduino 3 / ESP-IDF 5 compatibility
+- Changed lib name: `AsyncTCP` -> `Async TCP`
+- Point to `mathieucarbou/Async TCP @ ^3.0.0`