What needs attention
A register mark adjoining restored plaster. A mark at a grille and a damp plaster edge should be identified as separate surfaces in the record. What supports a system-component claim rather than a recommendation based only on the plaster stain?

The grille and plaster need separate findings
A mark on a register and dampness at the adjoining plaster are not interchangeable evidence. Describe which surface was observed and which system component is actually accessible. A stain beside the grille does not prove growth throughout ductwork, while an attractive replacement cover cannot explain the condition behind it.
Ask what supports the mechanical boundary
The proposed system work should identify inspected components and any unassessed sections. If the issue concerns the plaster or another moisture path, keep that separate from duct cleaning. Access near restored finishes needs its own permission and restoration plan before a localized observation is expanded into a broader mechanical scope.
Access for the affected space
If the affected space includes original trim or a restored finish, bring existing alteration records and identify the elements you want protected. Preservation choices need the actual material assessment. For the cooling system, identify the actual unit and the person responsible for mechanical access and repair.
Related cleanup information
Old Naples service area; HVAC mold cleanup; Compare the cleanup scope.
Sources and further reading
Your next step
Talk through your mold concern.
Have the address, affected room and any known water history ready.