[0.82] Fix symbol publishing auth by using System.AccessToken (#15615)

* update package.json to RN 0.82.0-rc-0 and removed SDL check for 4996 deprecation warning

* Fix symbol publishing auth by using System.AccessToken

Author: iamAbhi-916

.ado/publish.yml

@@ -355,6 +355,7 @@ extends:
               inputs:
                 SearchPattern: vnext/target/**/*.pdb
                 SymbolServerType: TeamServices
+                Pat: $(System.AccessToken)
 
             templateContext:
               sdl:
@@ -453,6 +454,7 @@ extends:
               SymbolsArtifactName: 'ReactNativeWindows-Symbols'
               DetailedLog: true
               TreatNotIndexedAsWarning: false
+              Pat: $(System.AccessToken)
 
           templateContext:
             sdl: