Welcome to the forum melaniewalker! I've been catching up on posts, as I've not been able to get to the forum for a long long time!
That sounds like a great game, it's always nice when you make the most of the tiles that you've been given.
I've certainly had many close games, but I think my favourite was playing against Udo Schmitz in-person, who organized Carcassonne-on-tour. It was a deciding match of a team tournament, and with my penultimate tile, I made a vague attempt and glomming onto a field to take majority.
I stupidly drew my next tile during his turn, and looked at it.....I wish I hadn't because it was precisely the tile I needed. Udo thought it best to score points, but he was tentatively considering blocking any chance of me joining. I knew if he made eye contact with me he'd know I had the tile I needed.... I have a weak poker face. Thankfully I he didn't look, and I was able to win the game, and the tournament.
"Unbelievable" Udo echoed.
Ah great memories.