I don't think Patrick Stewart gave the best performance in the film. Rather, I think all three of the main actors gave equally compelling performances. In my dream world, Hugh Jackman, Patrick Stewart, and Dafne Keen would all get nominated for an Oscar or at least a Golden Globe for this film. Patrick Stewart broke my heart, Dafne Keen had me in awe, and Hugh Jackman was so nuanced and real in this film. It is amazing how Hugh Jackman inhabits this character to the point where I completely forget it is Hugh Jackman, and his love for the character really shows. I have never seen a comic book actor love his character as much as Hugh does. The guy is the total opposite of Logan in interviews with his smiling face, Aussie accent, and friendly/down-to-earth exterior, and in 'Logan' dare I say he finally embodied this character 100 percent and took his acting to another level (he brought 'Prisoners' level acting to 'Logan'). I have so much respect for that. He gave 110% every time he played Logan/Wolverine/James Howlett, even when the movies were bad, and he literally got better with almost every single movie - and then he took a pay cut for this last film in an attempt to give the fans the quintessential film about this character, and he absolutely nailed it. If that is not dedication, I don't know what is. On top of that, he is such a stand up dude to the fans. He will be sorely missed.
However, given that this was a comic book film that was released in March, I'm expecting no prestigious awards for any of them - at least not for this film. Patrick Stewart has the best shot, given how hard it is to get Oscar nominated in a comic book movie for best lead actor (has it even ever happened?).