[Docs] Fix on the documentation preview deploy CI (espressif#9109)

* Fix on the Docs deploy CI

* Removed the docs build badge (RTD)

* Update .github/workflows/docs_build.yml

Co-authored-by: Lucas Saavedra Vaz <32426024+lucasssvaz@users.noreply.github.com>

---------

Co-authored-by: Lucas Saavedra Vaz <32426024+lucasssvaz@users.noreply.github.com>

README.md

@@ -1,7 +1,6 @@
 # Arduino core for the ESP32, ESP32-S2, ESP32-S3, ESP32-C3, ESP32-C6 and ESP32-H2
 
-![Build Status](https://github.com/espressif/arduino-esp32/workflows/ESP32%20Arduino%20CI/badge.svg) [![Documentation Status](https://readthedocs.com/projects/espressif-arduino-esp32/badge/?version=latest)](https://docs.espressif.com/projects/arduino-esp32/en/latest/?badge=latest)
-[![External Libraries Test](https://github.com/espressif/arduino-esp32/actions/workflows/lib.yml/badge.svg?branch=master&event=schedule)](https://github.com/espressif/arduino-esp32/actions/workflows/lib.yml?link=http://https://github.com/espressif/arduino-esp32/blob/master/LIBRARIES_TEST.md)
+![Build Status](https://github.com/espressif/arduino-esp32/workflows/ESP32%20Arduino%20CI/badge.svg) [![External Libraries Test](https://github.com/espressif/arduino-esp32/actions/workflows/lib.yml/badge.svg?branch=master&event=schedule)](https://github.com/espressif/arduino-esp32/actions/workflows/lib.yml?link=http://https://github.com/espressif/arduino-esp32/blob/master/LIBRARIES_TEST.md)
 
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