Can tidb.log record which database generates "command dispatched failed" warnings?

## Feature Request

**Is your feature request related to a problem? Please describe:**

The current log about "command dispatched failed" of tidb.log is as follows
```
[2023/10/20 14:32:52.082 +08:00] [INFO] [conn.go:1152] ["command dispatched failed"] [conn=3510045736140041509] [connInfo="id:3510045736140041509, addr:xx.xx.xx.xxx:31610 status:10, collation:latin1_swedish_ci, user:xxxx"] [command=Query] [status="inTxn:0, autocommit:1"] [sql="select UID,GID,Name,OID1,OID2,OID3,Department,SNo,IsValid,CheckPoint,ZuheId,date_format(SignUpTime,'%Y%m%d%H%i%s'),TutorID,Instructor from xx_01 where checkpoint > 0 order by checkpoint limit 10000"] [txn_mode=PESSIMISTIC] [timestamp=0] [err="[planner:1054]Unknown column 'instructor' in 'field list'\ngithub.com/pingcap/errors.AddStack\n\t/go/pkg/mod/github.com/pingcap/errors@v0.11.5-0.20220729040631-518f63d66278/errors.go:174\ngithub.com/pingcap/errors.(*Error).GenWithStackByArgs\n\t/go/pkg/mod/github.com/pingcap/errors@v0.11.5-0.20220729040631-518f63d66278/normalize.go:164\ngithub.com/pingcap/tidb/planner/core.(*expressionRewriter).toColumn\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/expression_rewriter.go:2033\ngithub.com/pingcap/tidb/planner/core.(*expressionRewriter).Leave\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/expression_rewriter.go:1167\ngithub.com/pingcap/tidb/parser/ast.(*ColumnName).Accept\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/parser/ast/expressions.go:534\ngithub.com/pingcap/tidb/parser/ast.(*ColumnNameExpr).Accept\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/parser/ast/expressions.go:596\ngithub.com/pingcap/tidb/planner/core.(*PlanBuilder).rewriteExprNode\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/expression_rewriter.go:199\ngithub.com/pingcap/tidb/planner/core.(*PlanBuilder).rewriteWithPreprocess\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/expression_rewriter.go:145\ngithub.com/pingcap/tidb/planner/core.(*PlanBuilder).buildProjection\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/logical_plan_builder.go:1336\ngithub.com/pingcap/tidb/planner/core.(*PlanBuilder).buildSelect\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/logical_plan_builder.go:4045\ngithub.com/pingcap/tidb/planner/core.(*PlanBuilder).Build\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/core/planbuilder.go:804\ngithub.com/pingcap/tidb/planner.buildLogicalPlan\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/optimize.go:461\ngithub.com/pingcap/tidb/planner.optimize\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/optimize.go:382\ngithub.com/pingcap/tidb/planner.Optimize\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/planner/optimize.go:245\ngithub.com/pingcap/tidb/executor.(*Compiler).Compile\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/executor/compiler.go:116\ngithub.com/pingcap/tidb/session.(*session).ExecuteStmt\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/session/session.go:2171\ngithub.com/pingcap/tidb/server.(*TiDBContext).ExecuteStmt\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/driver_tidb.go:247\ngithub.com/pingcap/tidb/server.(*clientConn).handleStmt\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/conn.go:2093\ngithub.com/pingcap/tidb/server.(*clientConn).handleQuery\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/conn.go:1943\ngithub.com/pingcap/tidb/server.(*clientConn).dispatch\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/conn.go:1374\ngithub.com/pingcap/tidb/server.(*clientConn).Run\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/conn.go:1123\ngithub.com/pingcap/tidb/server.(*Server).onConn\n\t/home/jenkins/agent/workspace/build-common/go/src/github.com/pingcap/tidb/server/server.go:625\nruntime.goexit\n\t/usr/local/go/src/runtime/asm_amd64.s:1594"]
```
I want to know which db triggered the log.
**Describe the feature you'd like:**

I want to know which db triggered the log.Can tidb.log record which database generates "command dispatched failed" warnings?

**Describe alternatives you've considered:**

**Teachability, Documentation, Adoption, Migration Strategy:**