Update CODEOWNERS (Azure#36337)

@Azure/azsdk-identity => @Azure/azure-sdk-write-identity

Author: joshfree

.github/CODEOWNERS

@@ -143,7 +143,7 @@
 /sdk/anomalydetector/                                @conhua @mengaims @juaduan @moreOver0
 
 # PRLabel: %Azure.Identity
-/sdk/identity/                                       @g2vinay @billwert @joshfree @Azure/azsdk-identity
+/sdk/identity/                                       @g2vinay @billwert @joshfree @Azure/azure-sdk-write-identity
 # PRLabel: %azure-spring
 /sdk/identity/azure-identity-extensions/             @backwind1233 @chenrujun @hui1110 @netyyyy @saragluna @stliu @yiliuTo @moarychan @fangjian0423