[docs] add DeepWiki badge to enable auto-refresh (#38995)

diff --git a/.github/.wordlist.txt b/.github/.wordlist.txt
index 81de8eb..92ac34e 100644
--- a/.github/.wordlist.txt
+++ b/.github/.wordlist.txt
@@ -369,6 +369,7 @@
 decrypted
 DEDEDEDE
 deepnote
+deepwiki
 DefaultOTAProviders
 DefaultOTARequestor
 DefaultOTARequestorDriver
diff --git a/README.md b/README.md
index d296770..3221e98 100644
--- a/README.md
+++ b/README.md
@@ -41,6 +41,7 @@
 **Documentation**
 
 [![Documentation Build](https://github.com/project-chip/connectedhomeip/actions/workflows/docbuild.yaml/badge.svg)](https://github.com/project-chip/connectedhomeip/actions/workflows/docbuild.yaml)
+[![Ask DeepWiki](https://deepwiki.com/badge.svg)](https://deepwiki.com/project-chip/connectedhomeip)
 
 -   [Matter SDK documentation page](https://project-chip.github.io/connectedhomeip-doc/index.html)