Using the mutter-42.1-2.fc36.x86_64.rpm from greggor's builds.
file /usr/bin/mutter from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/libmutter-10.so.0.0.0 from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/Meta-10.gir from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/Meta-10.typelib from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/libmutter-clutter-10.so.0.0.0 from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/libmutter-cogl-10.so.0.0.0 from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/libmutter-cogl-pango-10.so.0.0.0 from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/lib64/mutter-10/plugins/libdefault.so from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/libexec/mutter-restart-helper from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/share/doc/mutter/NEWS from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/share/glib-2.0/schemas/org.gnome.mutter.gschema.xml from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64
file /usr/share/locale/ne/LC_MESSAGES/mutter.mo from install of mutter-42.1-2.fc36.x86_64 conflicts with file from package mutter-42.2-1.fc36.x86_64```
Fedora 36 is my operating system.
Using the mutter-42.1-2.fc36.x86_64.rpm from greggor's builds.