Is there a way to compare two strings in JOLT?

[KarthikND01]

I have below JSON, where I want to compare "categoryType" value with categories' object's "type" and pick up the matching object. Please find the details below,

Input

{
"categoryType": "A",
"categories": [
{
"type": "A",
"issue": "1"
},
{
"type": "B",
"issue": "2"
},
{
"type": "C",
"issue": "3"
}
]
}

Expected Output

{
"category" : {
"type" : "A",
"issue" : "1"
}
}

My JOLT Configuration

[
{
"operation": "shift",
"spec": {
"categories": {
"*": {
"type": {
"@(3,categoryType)": {
"@2": "category"
}
}
}
}
}
}
]

And the output I am getting is as below, which is incorrect because @(3,categoryType) value is "A", so it should only pick up the "type" matching the value "A". If I replace "@(3,categoryType)" with "A", it will pick up only one object matching the type "A". Any idea how to resolve this issue?
{
"category" : [ {
"type" : "A",
"issue" : "1"
}, {
"type" : "B",
"issue" : "2"
}, {
"type" : "C",
"issue" : "3"
} ]
}

[gbouget]

Something like this?

[
  {
    "operation": "shift",
    "spec": {
      "categoryType": "&",
      "categories": {
        "*": {
          "*": "@(1,type).&2.&1.&"
        }
      }
    }
  },
  {
    "operation": "shift",
    "spec": {
      "categoryType": {
        "*": {
          "@(2,&)": ""
        }
      }
    }
  },
  {
    "operation": "shift",
    "spec": {
      "categories": {
        "*": {
          "@": "categories"
        }
      }
    }
  }
]

[barbaros74]

Your solution is pretty good @gbouget , yet might be shortened like this :

[
  {
    "operation": "shift",
    "spec": {
      "*Type": "&",
      "*ies": {
        "*": {
          "*": "@1,type.&(2,1)y.&"
        }
      }
    }
  },
  {
    "operation": "shift",
    "spec": {
      "*Type": {
        "*": {
          "@2,&": ""
        }
      }
    }
  }
]

[KarthikND01]

Thank you @gbouget and @barbaros74 .. this solution is brilliant.