Here's a simpler proposal.
Transfer the declination lines and hour lines of a horizontal sundial onto a transparent sheet.
Mark a small circle on the centre of the mirror.
Support the horizontal transparent sheet, rotated from north to south, with its nodus vertically above the centre of the circle, at a distance equal to the height of the transparent sundial's gnomon.
Project a laser beam through the transparent sheet onto the centre of the circle.  Make sure the beam passes through the sundial scale at a point corresponding to some chosen time and date.
The reflected spot on the ceiling is the appropriate point on the ceiling sundial.
Repeat for other dates and times.
John Lynes

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