Classic carpenter youtube: "Make this $5000 end table for free at home"

Also carpenter youtuber: I'll use this huge piece of mahogany I had on my scrap pile so it cost me nothing.

I also borrowed my friend's 4000 square foot shop, so it was also free."

Yeah, and they're assuming you're going to power it off of a 5v line. In most instances you'd want to power it off the existing doorbell transformer, so you have to step down the voltage and convert it to DC somehow. That's $5-10 right off the bat.

Additionally, you'd want to have the esp chip and relay at the doorbell transformer, not at the actual doorbell. You'd need to have a second relay or power transformer for this, but that's not a huge deal.

The project would likely be around $10-20, assuming you're not going to 3D print an enclosure. Plus, if you already have a front door camera, chances are you'd already have a doorbell camera that can already do this.

Source: building custom smart devices is my hobby.

It's the normal way to calculate a BoM.