domain: sync the access of InfoSyncer.SessionManager (#33924)
domain: sync the access of InfoSyncer.SessionManager (#33924)

close pingcap/tidb#33335
ngaut/tidb,kyle-wang/tidb,kyle-wang/tidb,kyle-wang/tidb,pingcap/tidb,ngaut/tidb,kyle-wang/tidb,kyle-wang/tidb,c4pt0r/tidb,kyle-wang/tidb,c4pt0r/tidb,pingcap/tidb,pingcap/tidb,c4pt0r/tidb,pingcap/tidb,pingcap/tidb,pingcap/tidb,ngaut/tidb,c4pt0r/tidb,ngaut/tidb,ngaut/tidb,ngaut/tidb,c4pt0r/tidb,c4pt0r/tidb