doc: Fix chat badge (#488)

* Make it link to chat.torchjd.org
* Place it right after the doc badge
* Rename it to ChatBot

Author: ValerianRey

README.md

@@ -1,13 +1,12 @@
 # ![image](docs/source/icons/favicon-32x32.png) TorchJD
 
 [![Doc](https://img.shields.io/badge/Doc-torchjd.org-blue?logo=data%3Aimage%2Fsvg%2Bxml%3Bbase64%2CPD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9Im5vIj8%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%2BCiAgPGRlZnMKICAgICBpZD0iZGVmczEiIC8%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)](https://torchjd.org)
+[![Static Badge](https://img.shields.io/badge/%F0%9F%92%AC_ChatBot-chat.torchjd.org-blue?logo=%F0%9F%92%AC)](https://chat.torchjd.org)
 [![Tests](https://github.com/TorchJD/torchjd/actions/workflows/tests.yml/badge.svg)](https://github.com/TorchJD/torchjd/actions/workflows/tests.yml)
 [![codecov](https://codecov.io/gh/TorchJD/torchjd/graph/badge.svg?token=8AUCZE76QH)](https://codecov.io/gh/TorchJD/torchjd)
 [![pre-commit.ci status](https://results.pre-commit.ci/badge/github/TorchJD/torchjd/main.svg)](https://results.pre-commit.ci/latest/github/TorchJD/torchjd/main)
 [![PyPI - Python Version](https://img.shields.io/pypi/pyversions/torchjd)](https://pypi.org/project/torchjd/)
 [![Static Badge](https://img.shields.io/badge/Discord%20-%20community%20-%20%235865F2?logo=discord&logoColor=%23FFFFFF&label=Discord)](https://discord.gg/76KkRnb3nk)
-[![Static Badge](https://img.shields.io/badge/%F0%9F%92%AC-chatwithtorchjd.org-blue?logo=%F0%9F%92%AC)](https://chatwithtorchjd.org)
-
 
 TorchJD is a library extending autograd to enable
 [Jacobian descent](https://arxiv.org/pdf/2406.16232) with PyTorch. It can be used to train neural