Implement non-replicated mesh DG for SolutionUserObject #32411
Description
Motivation
#32297 added support for a distributed mesh within SolutionUserObject, but not with support for DG + distributed mesh. Thus, force_replicated_source_mesh must be set to true when restoring/initializing DG variables with a SolutionUO + SolutionFunction/other Solution object.
Design
Add support for DG variables with distributed mesh and SolutionUserObject.
Impact
New capability.