I think you are trying to loop through the response and for each result, you wanna enter to the list, right? if so update the code with following

async loadCards() {
  try {
    const response = await axios.get("https://api.adzuna.com/...");
    var list = [];
    response.data.results.forEach(elem => {
      list.push(elem)
      console.log(list)
    });     
  } 
  catch (error) {
    console.log(error);
      }
},

Because you wanna push elements to the list you initialized a simple example is

 const array1 = ['a', 'b', 'c'];
var newarray = []
array1.forEach(element => {
newarray.push(element)});

Here we are taking elements from array1 and pushing them to the new array. Hope it makes sense now

Answering to your comment as you wanna enter the full response and not each element sepeartely you could use this following

async loadCards() {
      try {
        const response = await axios.get("https://api.adzuna.com/...");
        var list = [];
        response.data.forEach(elem => {
          list.push(elem)
          console.log(list)
        });     
      } 
      catch (error) {
        console.log(error);
          }
    },

So you could try

    `async loadCards() {
      try {
        const response = await axios.get("https://api.adzuna.com/...");
var string1 = JSON.stringify(response.data);

var parsed = JSON.parse(string1);  
        data = JSON.parse(response.data);
        var list = [];
        parsed.forEach(elem => {
          list.push(elem)
          console.log(list)
        });     
        
      
      } 
      catch (error) {
        console.log(error);
          }
    },`