JSFiddle - React, Tailwind, and code Playground

JavaScript

const ob = {
  "dataOne": [
    {
      "type": "Type 1",
      "name": "failed"
    },
    {
      "type": "Type 1",
      "name": "success"
    },
    {
      "type": "Type 2",
      "name": "success"
    },
    {
      "type": "Type 3",
      "name": "success"
    },
  ],
  "dataTwo": [
    {
      "type": "Type 1",
      "name": "click",
    },
    {
      "type": "Type 2",
      "name": "click",
    },
    {
      "type": "Type 2",
      "name": "click",
    },
    {
      "type": "Type 1",
      "name": "click",
    },
    {
      "type": "Type 3",
      "name": "click",
    },
  ]
};

const result = ob.dataOne.reduce( (acc, o) => (acc[o.type] = (acc[o.type] || 0)+1, acc), {} );


console.log(result);