I think youre asking about an EFIN, not a PTIN.  You need to upload the Application Summary from your EFIN account in order for Intuit to update your Electronic Filing Information.

Maybe the person you spoke with was saying the wrong letters, but Ive never heard of a PTIN tracking number (the EFIN application does have a tracking number though) or having to provide anything to Intuit about our PTINs, only EFINS

This article should help

https://accountants.intuit.com/support/en-us/help-article/business-address/register-efin-intuit-e-fi...