MM-63820 chore(e2e): update dependencies and docs (#30807)

* chore(e2e): update dependencies and docs

* update the use of postMessage, expose 8065 on test server and fix flakiness on profile popover

e2e-tests/.ci/server.generate.sh

@@ -65,6 +65,8 @@ services:
       MM_LOGSETTINGS_ENABLEDIAGNOSTICS: "false"
       MM_LOGSETTINGS_CONSOLELEVEL: "DEBUG"
     network_mode: host
+    ports:
+      - "8065:8065"
     depends_on:
 $(for service in $ENABLED_DOCKER_SERVICES; do
     # The server container will start only if all other dependent services are healthy
@@ -277,7 +279,7 @@ $(if mme2e_is_token_in_list "webhook-interactions" "$ENABLED_DOCKER_SERVICES"; t
 $(if mme2e_is_token_in_list "playwright" "$ENABLED_DOCKER_SERVICES"; then
     echo '
   playwright:
-    image: mcr.microsoft.com/playwright:v1.51.1-noble
+    image: mcr.microsoft.com/playwright:v1.52.0-noble
     entrypoint: ["/bin/bash", "-c"]
     command: ["until [ -f /var/run/mm_terminate ]; do sleep 5; done"]
     env_file: