Here is my searxng rocker compose:

services:
  redis:
    container_name: redis
    image: docker.io/valkey/valkey:7-alpine
    command: valkey-server --save 30 1 --loglevel warning
    restart: unless-stopped
    networks:
      - local_bridge
    volumes:
      - ./data/reddis:/data
    cap_drop:
      - ALL
    cap_add:
      - SETGID
      - SETUID
      - DAC_OVERRIDE
    logging:
      driver: "json-file"
      options:
        max-size: "1m"
        max-file: "1"

  searxng:
    container_name: searxng
    image: docker.io/searxng/searxng:latest
    restart: unless-stopped
    networks:
      - local_bridge
      - proxy
    volumes:
      - ./data/searxng:/etc/searxng
    environment:
      - SEARXNG_BASE_URL=https://${SEARXNG_HOSTNAME:-localhost}/
      - SEARXNG_SECRET=${SEARXNG_SECRET}
    cap_drop:
      - ALL
    cap_add:
      - CHOWN
      - SETGID
      - SETUID
    logging:
      driver: "json-file"
      options:
        max-size: "1m"
        max-file: "1"

networks:
  local_bridge: # local bridge with ipv6 internet access
    driver: bridge
    enable_ipv6: true
  proxy:
    external: true

And the proxy network is just the docker network that nginx is connected to. Here is my nginx conf github.com/muntedcrocodile/nginxconf .