There are two option one use masking tape to mark the area and paint black and cover light in masking tape, second option take 4 inch or 6 inch mdf duco paint and fix in pop ceiling use black screws to fix the mdf
These are readily available in the market. You can ask for Concealed magnetic track light or something similar. You just have to create niches in the false ceiling accordingly. Some references below -
SaAsh design studio
New Leaf Designs
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