chore(docs): update run-a-taiko-node.mdx (#14233)

packages/website/pages/docs/guides/run-a-node/run-a-taiko-node.mdx

@@ -220,19 +220,19 @@ docker compose pull
 
 To view the Docker logs, the following commands can be ran:
 
-#### View all logs
+#### View all L2 logs
 
 ```sh
 docker compose logs -f
 ```
 
-#### View the proposer image's logs
+#### View the L2 proposer image's logs
 
 ```sh
 docker compose logs -f taiko_client_proposer
 ```
 
-#### View the prover image's logs
+#### View the L2 prover image's logs
 
 ```sh
 docker compose logs -f taiko_client_prover_relayer
@@ -244,6 +244,30 @@ docker compose logs -f taiko_client_prover_relayer
 docker compose logs -f l2_execution_engine
 ```
 
+#### View all L3 logs
+
+```sh
+docker compose -f docker-compose.l3.yml logs -f 
+```
+
+#### View the L3 proposer image's logs
+
+```sh
+docker compose -f docker-compose.l3.yml logs -f l3_taiko_client_proposer
+```
+
+#### View the L3 prover image's logs
+
+```sh
+docker compose -f docker-compose.l3.yml logs -f l3_taiko_client_prover_relayer
+```
+
+#### View the L3 execution engine logs
+
+```sh
+docker compose -f docker-compose.l3.yml logs -f l3_execution_engine
+```
+
 #### View the live data streams of your running containers
 
 This shows the CPU/MEM USAGE % and consumption of your machine's resources (add prefix "`docker stats -a`" to display all containers)