The geometry of spacetime depends on the density of the universe. At certain densities, spacetime wraps around on itself and gives space a positive curvature. That makes the universe finite. If you headed off in one direction, trillions of years later you would end up back where you started.
I just intuitively feel infinity is not a real, tangible physical reality. It is an abstract mathmatical concept existing only in our conciousness. But that's just my opinion.
I grew up on Star Trek, so I would be thrilled and electrified by alien sentient life. I just think the conservative scientific assumption is that after another century or two of finding no footprints in the EM spectrum, and no tangible evidence of alien visitors to our solar system, we could justifiably assume we are the only advanced intelligence in the galaxy.
That still leaves unanswered the question "What lies outside of and beyond those finite limits?"
Has to be something or nothing.
Then, how long and far does that stretch and what lies beyond the limits of that?
So absent an explanation, we're right back to infinity again.
Other galaxies are too remote for even the possibility of visiting or studying for signs of life. So its almost a mute point to consider it. And it would be curious that in a galaxy as large as the Milky Way, we would be the only advanced sentient intelligence.
FYI - the term is "moot" point.
https://www.dictionary.com/e/moot-point-vs-mute-point/