An Infraforge mailbox is an SMTP account on Infraforge’s servers, sending from IP addresses dedicated to you. That is its selling point: nobody else’s mail shares your IPs, so the reputation is yours. It also means it starts from zero, and you build it.
A PureMail inbox is a Google Workspace or Microsoft 365 account on your domain, sending through Gmail’s or Outlook’s own infrastructure, the providers your prospects read their mail in, with the reputation those providers give their own customers.
The same company sells Google and Microsoft accounts as Primeforge, at $4.50 a slot. So Infraforge vs PureMail is really a choice between private SMTP and Google and Microsoft cold email infrastructure, and between prepaying a quarter and paying monthly.