Update puppeteer types to accept `puppeteer-core` from outside Lighthouse

When I try to use Cypress/puppeteer plugin for lighthouse user flow it doesn't work for me
The problem is that the function startFlow from lighthouse assume that he will receive the page from lighthouse/types/puppeteer but it received from puppeteer-core/lib/types.
is there a way to solve this problem OR should we use puppeteer itself and there is no way to work with cypress?