use axios and make a request to send file to that Rest Action code example

Example: sending api request in axios with files

let headers = {
        Authorization: "token",
        'Content-Type':'multipart/form-data'
    };

let formData = new FormData();

 for(let key in files){
 
  formData.append('files[][file]', files[key].file, files[key].file.name)
  formData.append('files[][file_type_id]', files[key].fileType)
}

axios
    .post(
        "/api/files",
       formData,
        { headers }
    )
    .then(()=>{console.log('It Works')})