Add a client id when sending a chat message (#6073)

GitOrigin-RevId: 3ddfab6e711de6770b27aafe87491d33e310635c

services/web/test/frontend/features/chat/context/chat-context.test.js

@@ -405,7 +405,7 @@ describe('ChatContext', function () {
         'express:/project/:projectId/messages',
         'POST'
       )
-      expect(JSON.parse(body)).to.deep.equal({ content: 'sent message' })
+      expect(JSON.parse(body)).to.deep.include({ content: 'sent message' })
     })
 
     it("doesn't send if the content is empty", function () {