First idea: delete the swap partition (while booting from live USB) and extend the root partition on it. Comment out the swap entry in fstab.
Second idea: clean the cache with
pamac clean --keep 2
https://wiki.manjaro.org/index.php?title=Pamac#Cleaning_the_Cache
Third idea: create a new partition, then copy the content of /var to it and mount it on /var by /etc/fstab. On reboot mount the root partition and remove everything from the /mnt/var folder. (Ask for commands if unsure how to do it.)
Fourth idea: move /boot/efi partition to the right while booting from live USB.
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