Is there a way to make a named volume 'writable'?

[mbopp]

For my Symfony site, I would like for the symfony cache to be a named volume. I think having it a part of my main workspace volume is causing occasional caching errors. But when I create a named volume I am given an error that the cache directory is not writable. Which I presume is because FPM is running as wodby and not root. Is there a way I can accomplish the goal of making the 'cache' be in docker only?

Host OS

macOS Monterey

Docker info output

Client:
 Context:    default
 Debug Mode: false
 Plugins:
  buildx: Docker Buildx (Docker Inc., v0.7.1)
  compose: Docker Compose (Docker Inc., v2.2.3)
  scan: Docker Scan (Docker Inc., v0.16.0)

Server:
 Containers: 9
  Running: 7
  Paused: 0
  Stopped: 2
 Images: 19
 Server Version: 20.10.12
 Storage Driver: overlay2
  Backing Filesystem: extfs
  Supports d_type: true
  Native Overlay Diff: true
  userxattr: false
 Logging Driver: json-file
 Cgroup Driver: cgroupfs
 Cgroup Version: 2
 Plugins:
  Volume: local
  Network: bridge host ipvlan macvlan null overlay
  Log: awslogs fluentd gcplogs gelf journald json-file local logentries splunk syslog
 Swarm: inactive
 Runtimes: io.containerd.runc.v2 io.containerd.runtime.v1.linux runc
 Default Runtime: runc
 Init Binary: docker-init
 containerd version: 7b11cfaabd73bb80907dd23182b9347b4245eb5d
 runc version: v1.0.2-0-g52b36a2
 init version: de40ad0
 Security Options:
  seccomp
   Profile: default
  cgroupns
 Kernel Version: 5.10.76-linuxkit
 Operating System: Docker Desktop
 OSType: linux
 Architecture: aarch64
 CPUs: 5
 Total Memory: 1.942GiB
 Name: docker-desktop
 ID: BBRN:Y74T:T3HJ:AWYW:NO67:2DFV:AM7U:A2TK:VHHC:D3BE:SSJT:CHNC
 Docker Root Dir: /var/lib/docker
 Debug Mode: false
 Registry: https://index.docker.io/v1/
 Labels:
 Experimental: false
 Insecure Registries:
  127.0.0.0/8
 Live Restore Enabled: false

Docker compose file

version: "3"

services:
  ...
  php:
    image: wodby/php:$PHP_TAG
    container_name: "${PROJECT_NAME}_php"
    environment:
      PHP_SENDMAIL_PATH: /usr/sbin/sendmail -t -i -S mailhog:1025
      MAILER_DSN: smtp://mailhog:1025
      DB_HOST: $DB_HOST
      TEST_DB_HOST: $TEST_DB_HOST
      DB_USER: $DB_USER
      DB_PASSWORD: $DB_PASSWORD
      DB_NAME: $DB_NAME
      PHP_FPM_USER: wodby
      PHP_FPM_GROUP: wodby
      DOCKER: 1
      APP_ENV: dev
      APP_DEBUG: 1
      COMPOSER_MEMORY_LIMIT: -1
      COMPOSER_PROCESS_TIMEOUT: 1200
      # PHP_XDEBUG: 1
      PHP_XDEBUG_MODE: debug
      PHP_XDEBUG_CLIENT_HOST: host.docker.internal # Docker 18.03+ Mac/Win
    volumes:
      - ./backend/:/var/www/html:cached
      - ./backend/tests/:/var/www/html/backend/tests
      - wb_backend_cache:/var/www/html/var/cache
    ...

  volumes:
    wb_backend_cache:

Logs output

  [RuntimeException]                                                     

  Unable to create the "cache" directory (/var/www/html/var/cache/dev).