web/a11y: QL Search Input (cherry-pick #16198)

[rissson]

…#16158)<!--
👋 Hi there! Welcome.

Please check the Contributing guidelines: https://docs.goauthentik.io/docs/developer-docs/#how-can-i-contribute
-->

Details

REPLACE ME

---

Checklist

• Local tests pass (ak test authentik/)
• The code has been formatted (make lint-fix)

If an API change has been made

• The API schema has been updated (make gen-build)

If changes to the frontend have been made

• The code has been formatted (make web)

If applicable

• The documentation has been updated
• The documentation has been formatted (make docs)

[netlify]

✅ Deploy Preview for authentik-integrations ready!

Name	Link
🔨 Latest commit	029c6c7
🔍 Latest deploy log	https://app.netlify.com/projects/authentik-integrations/deploys/68a32db2ef051f000729ccd0
😎 Deploy Preview	https://deploy-preview-16229--authentik-integrations.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

---

To edit notification comments on pull requests, go to your Netlify project configuration.

[netlify]

✅ Deploy Preview for authentik-docs ready!

Name	Link
🔨 Latest commit	029c6c7
🔍 Latest deploy log	https://app.netlify.com/projects/authentik-docs/deploys/68a32db24d0c7800088e501c
😎 Deploy Preview	https://deploy-preview-16229--authentik-docs.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

---

To edit notification comments on pull requests, go to your Netlify project configuration.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 92.76%. Comparing base (93cb48c) to head (029c6c7).
⚠️ Report is 5 commits behind head on version-2025.8.
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@               Coverage Diff               @@
##           version-2025.8   #16229   +/-   ##
===============================================
  Coverage           92.76%   92.76%           
===============================================
  Files                 836      836           
  Lines               45167    45167           
===============================================
  Hits                41901    41901           
  Misses               3266     3266           

Flag	Coverage Δ
e2e	46.60% <ø> (-0.01%)	⬇️
integration	23.59% <ø> (+<0.01%)	⬆️
unit	90.91% <ø> (+<0.01%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.