What email warmup actually does to your reputation
Every mailbox provider keeps a score for the domain and the individual address that sends a message. A brand new inbox has no score at all, which providers treat with suspicion, because the cheapest way to send spam is to create a fresh account and blast it. Warmup is the process of sending a small, rising number of emails to inboxes that open, reply and move the message out of spam, so the provider sees a pattern that looks like a real person starting a job.
That history is what buys you the right to send cold email later. An inbox that has exchanged a few hundred replied-to emails over three weeks can send 30 cold emails a day and absorb a handful of ignored messages. The same inbox sending 100 cold emails on day one with zero replies looks exactly like a bot, and once an address is flagged, the domain behind it follows within days.