Again it’s a stalemate or a circular argument.
You claim there is no extraterrestrial aliens so..
The burden of proof lies with the person(s) making the assertion.
You stated: Attempting to put the burden of proof on those who claim extraterrestrial aliens are not real is actually forcing such burden of proof to cover every single planet in the galaxy or even the universe, which is essentially impossible.
Based on that statement alone, that it’s impossible prove life doesn’t exist on every single planet in the universe then by probability, randomness, or chance... life could exist even if only on one other planet.
I just look up at the stars and say we can’t be the only life out there in an infinite universe.
No, I stated: "That is why those who doubt that extraterrestrial aliens exist define their argument as probabilistic, rather than absolute." A probabililstic claim against extraterrestrial aliens is that the probability of aliens is very small. It is not that the probability is absolutely zero.
"I just look up at the stars and say we can’t be the only life out there in an infinite universe."
First, where is the proof for your absolute claim that the universe is infinite rather than just being extremely large. Second, even the existence of an extremely large number of stars does not prove your claim that "we can’t be the only life out there".
BTW, to begin with, proving the claim that the universe is infinite requires evidence that the universe exists a few billion light-years beyond Earth (which is so easy that I will concede that point). But then, next, you need to prove the universe exists a trillion light-year beyond that, and then a trillion light-years beyond that, and a trillion light-years beyond that, and so on, ad infinitum. Even a trilliontrillion light-years is nowhere near infinite.