The Fermi Paradox overestimates the likelihood of intelligent life outside of earth. We haven't even found hard evidence of life anywhere outside of our planet. There's not even a verifiably hospitable planet for water-based lifeforms anywhere within dozens of lightyears from earth. Even if a hospitable planet exists within a range we can one day get to, unless it has the same volcanic properties and makeup as earth, it's most probable that life itself never even developed there.

Even where life may have developed, it's incredibly unlikely that sentient intelligence developed. There was never any guarantee that sentience would develop on Earth and about a million unlikely events had to converge in order for that to occur. It's not a natural consequence of evolution, it's an accident of Earth's unique history and several near-extinction level events and drastic climate changes had to occur to make it possible.

The "law of large numbers" is nothing when the odds of sentient intelligence developing are so close to zero. If such a thing occurred or occurs in the future at some location other than Earth, it's reasonably likely that it's outside of our own galaxy or so far from us that we will never meet them. The speed of light is a hell of a thing.