Pass value into the with() function

Hi! Is it possible to access data inside of a with() query?

So in the following example there are ServerGroups. A ServerGroup has many Servers. The Servers has many Admins. The Admins has many Names.

I can load the Admins from a ServerGroup. It means all Admins belongs to all Servers owned by a ServerGroup.

return $serverGroup->admins()->paginate();

I can populate the admins with the server.

return $serverGroup->admins()->with('server')->paginate();

Same scenario with names.

return $serverGroup->admins()->with('server')->with('names')->paginate();

In this case all the admins printed well with associated server and names.

{
            "id": 1,
            "steam_id": "MY_STEAM_ID",
            "server_id": 3,
            "flags": "abc",
            "created_at": null,
            "updated_at": null,
            "laravel_through_key": 2,
            "server": {
                "id": 3,
                "label": "MY_SERVER",
                "ip_address": "127.0.0.1",
                "port": null,
                "server_group_id": 2,
                "created_at": null,
                "updated_at": null,
                "deleted_at": null
            },
            "names": [
                {
                    "id": 1,
                    "steam_id": "MY_STEAM_ID",
                    "name": "XXX",
                    "server_id": 3,
                    "created_at": "2023-05-19 22:54:20",
                    "updated_at": "2023-05-19 22:54:34"
                },
                {
                    "id": 1,
                    "steam_id": "MY_STEAM_ID",
                    "name": "Blah",
                    "server_id": 4,
                    "created_at": "2023-05-19 22:54:20",
                    "updated_at": "2023-05-19 22:54:34"
                }
            ]
        },

In this respone there is an admin as you can admin of the server 3. Loaded with the server and the names. But I can see all the names the admin used on another servers.

I want to filter that names by server id. Example: If the admin is belongs to Server1 I only want to show the names used by the admin on the Server1.

return $serverGroup->admins()->with('server')->with(['names' => fn ($q2) use ($q) => $q2->where('server_id', 3)])->paginate();

If I set he filter to server_id 3 the only name is printed fine. I think it can be done with DB:raw('admins.server_id') instead of 3. But since the query is a prequery it cannot see that table. Maybe I can access that value from the $q variable. The main query.