Details man. You are asking us to spec out a cell with out even answering basic questions.
Knowing the part size only tells me what size of robot you will need.
To repeat some of my questions:
What is your required cycle time?
What are the tolerances of your parts?
Some new ones:
What is the shot size of your glue?
How accurate do you need to be with the volume of glue dispensed?
What is the Reynolds number of the glue? If the glue is super thick or thin, it will require special provisions.
What is the cure time of the glue?
Does the glue need to go through an oven or some other post process?
Does the glued LED strip need to be held in place while the glue cures?
These are all questions you should be able to answer. Any integrator will be asking you the same.