No, sorry... I do not understand. I don't think you should be trying to create any partitions (like /var) on your own. I think you should let Mint do the job of creating your partitions. The people who make Mint are much smarter than you and me, and I trust them to make the best choices. When you create partitions during the Linux Mint installation, you select "/" and "/boot/efi" as the mount point... you do not give them these names, Linux Mint names them because these names are standardized and required. There may be some exceptions to this, but they would be very few.What still is un-clear, please:
while creating the partitions, I give them the names, boot/efi and ´/´ - no - but SWAP, and ´var´ ? Do You understand the (my) trouble ?
I discourage you from creating a partition for /home, just as I discourage you from creating /var. There are good reasons for making /home a separate partition, and there are good reasons not to do that. The best reason of all is that you are not experienced enough, and you are likely to create problems down the road that neither your (nor we) can foresee.With having to think about new versions of Mint, it would be a good decision, to prepare (and configure) the - /home (?) - partition for settings and additional installed programs with keeping then.
I've been using Linux for more than 25 years, and I've never used a separate partition for /home, or /var, or /boot. All you need is the "/" partition and "/boot/efi"... that's all. If you will accept just those 2 parttions, you would not need to do the "Something else" type of Mint install, and you could just use the "Erase disk and install Mint" method. I can only recommend that you make your life easy and simple, not hard and complicated.
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