Add DS-Chat CI badge and documentation (deepspeedai#697)

This PR adds the DS-Chat CI badge and documentation to the main and DS-Chat READMEs.

Author: lekurile

README.md

@@ -16,6 +16,10 @@ Model compression examples.
 ## 5. Benchmarks
 All benchmarks that use the DeepSpeed library are maintained in this folder.
 
+# Build Pipeline Status
+| Description | Status |
+| ----------- | ------ |
+| Integrations | [![nv-ds-chat](https://github.com/microsoft/DeepSpeed/actions/workflows/nv-ds-chat.yml/badge.svg?branch=master)](https://github.com/microsoft/DeepSpeed/actions/workflows/nv-ds-chat.yml) |
 
 # Contributing
 

applications/DeepSpeed-Chat/README.md

@@ -48,6 +48,7 @@ A fast, affordable, scalable and open system framework for enabling end-to-end R
    - [🐼 Serving Your Model: Plug-in and Test!](#-serving-plug-in-your-final-model-trained-by-deepspeed-chat-and-test-it-out)  
 - [🔥 Training Performance Evaluation 🔥](#-training-performance-evaluation-)
 - [😽 Supported Models 😽](#-supported-models-)
+- [🔬 Build Pipeline Status 🔬](#-build-pipeline-status-)
 - [⚓ Documentation and Tutorial ⚓](#-documentation-and-tutorial-)
 - [🌱 DeepSpeed Chat's Roadmap 🌱](#-deepspeed-chats-roadmap-)
 - [💬 DeepSpeed Chat and DeepSpeed Community 💬](#-deepspeed-chat-and-deepspeed-community-)
@@ -387,6 +388,33 @@ model family | size range
 
 * All performance and accuracy tests have been performed using the OPT model family only. For other models, please see our training_scripts folder on how to change model families.
 
+
+## 🔬 Build Pipeline Status 🔬
+
+| Description | Status |
+| ----------- | ------ |
+| Integrations | [![nv-ds-chat](https://github.com/microsoft/DeepSpeed/actions/workflows/nv-ds-chat.yml/badge.svg?branch=master)](https://github.com/microsoft/DeepSpeed/actions/workflows/nv-ds-chat.yml) |
+
+A DeepSpeed CI workflow runs the DeepSpeed-Chat Step 3 pipeline nightly across the following test configurations:
+
+Models
+```
+Actor:  facebook/opt-125m
+Critic: facebook/opt-125m (trained in DS-Chat Step 2)
+```
+
+Parameters comprising test matrix
+```
+Zero Stage:    2, 3
+Hybrid Engine: True, False
+Offload:       True, False
+LoRA:          True, False
+```
+
+Each configuration (16 total) runs through a limited number of Step 3 non-overflow training steps (i.e. steps where neither actor nor critic overflow) and saves the actor/critic models.
+Assertions are used to check if the training pipeline executed correctly and if the actor and critic models were saved properly.
+
+
 ## ⚓ Documentation and Tutorial ⚓
 
 For more APIs, example scripts, and evaluation results, please refer to