I have a custom command in my tests to record requests, here's a few bits of it that might help you -

cy.intercept(cyInterceptArgs, request => {
  request.on('before:response', response => {
    // using env is super odd, but this is how to mix sync / async cy.task / cy.command code
    // https://filiphric.com/working-with-api-response-data-in-cypress
    Cypress.env('response', response)
  })

  request.continue()
}).as(url)

Then further down after some

fsReadFile

logic,

const response = Cypress.env('response') || null
if (file.shouldRecord && response) {
  cy.writeFile(filePath, response)
}

You can save the request/event data into the

Cypress.env('response')

, then access it later.