Is Music Infinite?

Hello, this is a very detailed question sorry if it's a bit long, but I have been wondering for a while, does music have endless possibilities. And to be clear, I don't mean adding a single note to a song and then calling it a new song, or changing a single note's pitch so slightly that it's beyond human hearing and calling it a new song, but really, with the limited amount of notations on a piano, can you make new songs, something that doesn't exist and has a completely new feel to it? And do you think you can do this over and over again endless amounts of times and if I had written trillions upon trillions upon trillions of piano pieces, could I make each and every one of them unique and special as opposed to the others?

Even if you were to make a calculation and presume that a 10-note melody had 85 quintillion combinations on a modern 88 key piano, and then another calculation that told you how many chord progressions were possible in that 10-note melody, and both the melody and chord progression combinations were so vastly gigantic in numbers that you couldn't type it out within any amount of years, is it still finite? IS there still only a limited amount of musical ideas where one day we will have made every possible unique song? This is something iv'e had an existential crisis about as a want to be musician. Thank you.