Standard way to talk about weight includes the bar weight (usually 45 lbs or 20 kg, but I’ve seen others out there).

It’s not a big deal when you’re just tracking your linear progress, as long as you’re consistent, but it’s still helpful to include the bar weight when talking to other people (who will expect the bar weight to be included), and if you get later into more advanced lifting programs that prescribe certain percentages of some reference weight.

Barbell arithmetic becomes second nature after you’ve been doing it a while, too.