scripts(scripts): 🔨 Update run script with new commands, environment variables, and optimized execution logic

Co-Authored-By: Lilith Autocommit <noreply@atlilith.com>

run

@@ -25,6 +25,7 @@ cmd_help() {
   echo -e "${C}${B}Testing${R}"
   echo -e "  ${G}test${R}             Unit tests                     ${D}pnpm -r test${R}"
   echo -e "  ${G}test:e2e${R}         Playwright E2E tests           ${D}playwright test${R}"
+  echo -e "  ${G}e2e:docker${R}       Docker E2E stack               ${D}docker compose e2e${R}"
   echo ""
   echo -e "${C}${B}Docker${R}"
   echo -e "  ${G}docker${R}           Start Postgres + Redis         ${D}docker compose up -d${R}"
@@ -107,6 +108,12 @@ case "${1:-help}" in
     echo -e "${C}Running E2E tests...${R}"
     cd "$ROOT/@tooling/e2e" && npx playwright test "$@"
     ;;
+  e2e:docker)
+    echo -e "${C}Running E2E tests in Docker...${R}"
+    cd "$ROOT" && docker compose \
+      -f "@tooling/e2e/docker-compose.e2e.yml" \
+      up --build --abort-on-container-exit --exit-code-from e2e-tests
+    ;;
 
   # Docker (local containers)
   docker)