What's a Kagi search?

I'm thinking of my usage patterns here. I tend to leave searches (and results but that's not Kagi's problem) open in the browser for days/weeks and come back to them when I need them again.

I also use the auto tab discard extension, which will of course unload the tab after a few minutes out of focus.

Let's also consider the machine going into sleep mode.

Will those actions trigger a new Kagi search and bring down my monthly search counter?