I want to install Linux Mint alongside Manjaro

if you have hdd space , you can. make sure you install mint with grub in its / partition.[provided its mbr and not uefi]
then you have to update manjaro-grub

my desktop triple boots with win10 [for family with efi on /dev/sda1,sda2 is windows; sda3 is Manjaro extfs [i didnt opt to go for seperate /home] and chose /dev/sda1 for efi
the third is my adventure with MX as i wanted to wet my feet with deb after a long long break, so i created / and /home seperate with a 2gb swap [which i share with manjaro when i boot into manjaro] [logical partition]

install procedure

  1. windows
  2. MX [in your case Mint]
  3. Manjaro [i prefer manjaro grub to take over the boot process which is well mentioned in the forum guides] OR H E R E as new forum is still evolving