About ( new look ) ...

[oooii]

( other search engine ) , here ...

Why are only ...

( Enabled ) and ( Not Enabled ) ...

These two choices ...

.........................

Before , can remove ( Search engine ) ...

.

[Agentvirtuel]

Hello

Customize Firefox using policies.json
https://support.mozilla.org/en-US/kb/customizing-firefox-using-policiesjson

SearchEngines | Remove
https://mozilla.github.io/policy-templates/#searchengines--remove

If you want to study Enterprise Policy Generator
https://addons.mozilla.org/firefox/addon/enterprise-policy-generator
https://connect.mozilla.org/t5/discussions/enterprise-policy-generator-an-open-source-browser-based/...

Remove search engine(s)

Below for illustration

{
  "policies": {
    "SearchEngines": {
      "Remove": [
        "Wikipedia (en)",
        "Perplexity"
      ]
    }
  }
}

Enterprise Policy Generator - Your browser is being managed by your organization

Firefox policy affect all profiles

[Agentvirtuel]

Linux
As for me

Illustration

{
  "policies": {
    "SearchEngines": {
      "Remove": [
        "Wikipédia (fr)",
        "Perplexity"
      ]
    }
  }
}

opt/firefox/distribution
Precision, the file, distribution.ini, that's a different subject unrelated

[Agentvirtuel]

Hello

A similar discussion https://support.mozilla.org/en-US/questions/1587943