you forgot to add/install the sublime gpg key to the pacman keyring
https://www.sublimetext.com/docs/3/linux_repositories.html#pacman
pacman
Install the GPG key:
curl -O https://download.sublimetext.com/sublimehq-pub.gpg && sudo pacman-key --add sublimehq-pub.gpg && sudo pacman-key --lsign-key 8A8F901A && rm sublimehq-pub.gpg
Select the channel to use:
Stableecho -e "\n[sublime-text]\nServer = https://download.sublimetext.com/arch/stable/x86_64" | sudo tee -a /etc/pacman.conf
Dev
echo -e "\n[sublime-text]\nServer = https://download.sublimetext.com/arch/dev/x86_64" | sudo tee -a /etc/pacman.conf
Update pacman and install Sublime Text
sudo pacman -Syu sublime-text