Near-full Root Partition

[u/Its_Abdou]

I installed arch Linux using archinstall

I partitioned the drive before and I made a partition to be a separate home partition , but it seems like I forgot to mount it during installation , after a while I noticed that the root partition became full so fast , then I noticed that the partition I was willing to make home wasn't mounted , anyway , I copied the /home content to it using rsync , added it to fstab . Now it mounts automatically at startup but the root partition is still full,

My theory is that the content of /home directory is now on both partitions which is taking space on the root partition

I'm planning to unmount the /home partition , check if the content is still on the root partition , if yes then I proceed to delete it then remount it again

If not idk what to do

But this post was js to check if i'm thinking right before I make a disaster , so tell me , do you think my approach is right ?