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Components needed for a prototype

We are building two prototypes that need a pico projector with the following features:

config A (projector positioned at the ceiling or top):
- Projection distance 10-30 cm
- ability to flip the image
- resolution 1920x1080
- dim screen (42" screen)
- transparent screen projection
- hdmi input, at least 1000 lumens or more.

config B (projector located down):
- Projection distance 10-12 cm
- ability to flip the image
- resolution 1920x1080
- dim screen 32 "
- Transparent screen projection
- hdmi input, at least 1000 lumens or more.




I attach two explanatory images.
what are the components needed to integrate a pico projector with these features in the two prototypes?
Sorry if the question is OT ...