fix(emby): Update app paths

[Brocklobsta]

Description

Starting with emby v4.10.0.11+ the app paths have changed leading to ffdetect issues.

⚒️ Fixes #

⚙️ Type of change

• 🧰 New container/image
• 🛠️ Update existing container/image
• 🐛 Bugfix (Dockerfile, scripts, chart values)
• 🔃 Refactor (no functional change)
• ⚠️ Breaking change (image tag, chart API change)

🧪 How Has This Been Tested?

I have the change deployed on my cluster
Brocklobsta/cluster@e3288b0

• ✅ Built container locally
• ✅ Ran container tests (unit/integration)
• ✅ Verified image in staging environment
• ✅ Checked container logs for errors

📃 Notes

✔️ Checklist:

• ⚖️ Changes follow the style guidelines of this project
• 👀 Self-review completed
• ✍️ Dockerfile and scripts are clear and accurate
• 🔗 Internal references (base images) are correct
• 🧪 Test instructions included
• 🏷️ The PR title follows the convention:
  • feat(page):
  • fix(content):
  • docs(site):
  • chore(site):

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