filebase에서채팅방메세지에서 인증오류가생겨요

규칙은 아래와 같이 강의 내용데로 적었는데
문제가 뭘까요? help paleas
rules_version = '2';
service cloud.firestore {
  match /databases/{database}/documents {
    // match /{document=**} {
    //   allow read: if true;
    //   allow write: if request.auth !=null;
    // } 모든 문서
    match /user/{docid}{
    allow read,write : if true;
    }
    match /chatroom/{docid}/messages/{docid2} {
    allow read,write : if true;
    }
    
    match /chatroom/{docid}{
    allow read,write : if true;
    }
    
    match /product/{docid}{
    allow read : if true ;
    allow create : if request.auth !=null;
    // allow update : if true
    allow update : if request.auth.uid == resource.data.uid
    }
  }
}

에러내용은 아래와 같습니다.
Uncaught (in promise) FirebaseError: Missing or insufficient permissions.
    at new qr (prebuilt.js:184:9)
    at prebuilt.js:10609:34
    at yr.<anonymous> (prebuilt.js:10561:21)
    at Kt (eventtarget.js:351:23)
    at jt (eventtarget.js:481:12)
    at vr.ta (webchannelbasetransport.js:368:3)
    at Qe (webchannelbase.js:2219:25)
    at Ue (channelrequest.js:822:7)
    at N.Da (channelrequest.js:703:5)
    at N.bb (channelrequest.js:564:10)
qr @ prebuilt.js:184
(anonymous) @ prebuilt.js:10609
(anonymous) @ prebuilt.js:10561
Kt @ eventtarget.js:351
jt @ eventtarget.js:481
vr.ta @ webchannelbasetransport.js:368
Qe @ webchannelbase.js:2219
Ue @ channelrequest.js:822
N.Da @ channelrequest.js:703
N.bb @ channelrequest.js:564
Kt @ eventtarget.js:351
jt @ eventtarget.js:481
Bn @ xhrio.js:884
N.Za @ xhrio.js:841
N.Aa @ xhrio.js:824

이상