Hi @AliGholipour and welcome to the Manjaro community.
At face value, libpamac requires libalpm.so=13-64 and attempting to install
pacman (6.1.0-5) breaks that dependency.
Solving any issue usually requires sufficient input from you, the user. The following articles may help you use the forum more effectively.
- How to Request Support
- How to Find Error Logs
- Use the Terminal / TTY
- Post Command Output and File Content as Formatted Text
- Manjaro Wiki
- Is Manjaro the Right Distribution For You
Cheers.