I have problems with using some libraries, some of them are related to Latex, others are dependencies for some other stuff.
The connecting element of the problems is, that if I try to install them via pacman or something else, they cannot be installed, since they already are installed, but I cannot use them.
pacman -F /usr/lib/libexempi.so
usr/lib/libexempi.so is owned by extra/exempi 2.6.5-1
you would install exempi - not libexempi
How did you install latex?
If not via pacman.
blender in Arch is currently out of date https://archlinux.org/packages/extra/x86_64/blender/
so it is likely the same in Manjaro stable - but that is speculation, not knowledge
tlmgr install svg
You don't have permission to change the installation in any way, specifically, the directory /usr/share/tlpkg/ is not writable. Please run this program as administrator, or contact your local admin.
tlmgr: An error has occurred. See above messages. Exiting.
sudo pacman -S exempi
warning: exempi-2.6.5-1 is up to date -- reinstalling
resolving dependencies...
error: could not open file /var/lib/pacman/local/llvm-18.1.8-4/desc: No such file or directory
looking for conflicting packages...
Packages (1) exempi-2.6.5-1
Total Installed Size: 1,44 MiB
:: Proceed with installation? [Y/n] y
(1/1) checking keys in keyring [##################################] 100%
(1/1) checking package integrity [##################################] 100%
(1/1) loading package files [##################################] 100%
(1/1) checking for file conflicts [##################################] 100%
error: failed to commit transaction (conflicting files)
exempi: /usr/bin/exempi exists in filesystem
exempi: /usr/include/exempi-2.0/exempi/xmp++.hpp exists in filesystem
exempi: /usr/include/exempi-2.0/exempi/xmp.h exists in filesystem
exempi: /usr/include/exempi-2.0/exempi/xmpconsts.h exists in filesystem
exempi: /usr/include/exempi-2.0/exempi/xmperrors.h exists in filesystem
exempi: /usr/lib/libexempi.so exists in filesystem
exempi: /usr/lib/libexempi.so.8 exists in filesystem
exempi: /usr/lib/libexempi.so.8.1.5 exists in filesystem
exempi: /usr/lib/pkgconfig/exempi-2.0.pc exists in filesystem
exempi: /usr/share/licenses/exempi/LICENSE exists in filesystem
exempi: /usr/share/man/man1/exempi.1.gz exists in filesystem
Errors occurred, no packages were upgraded.
If you read the Arch wiki link that cscs provided, you should see that tlmgr should be used in usermode so that it will install packages locally in your own ~/texmf directory.
But it should not be necessary in this case. The TeX Live svg package is provided as part of texlive-latexextra.
But I think these errors suggest that you may have a more fundamental, underlying problem.
Without any prior knowledge of tex - Iād assume you need to provide it with a switch e.g. --user to install in user mode.
That is true for npm (default to local, --global can be used) and was true for python (now python requires venv for installing outside the system foldertree).
Manjaro (inherited Arch) provides a lot of extensions as regular packages so if you are in need of a given tex package - one should search for the package in the repo using a reasonable keyword.