Using 'already' before adjectives
Solution 1:
Yes, this usage is correct. Note that it is conventional to use a hyphen when you are writing a compound adjective (see rule 6.39 given in this answer, which draws from CMoS):
already-calibrated camera
As you are probably aware, this means the same thing as:
We have used a camera that has already been calibrated, fixed on the robot.
Here are some examples from COCA that use "already" to modify an adjective in this way:
already-established
If your own novel's hero seems too similar to an already-established sleuth, try some mixing and matching.
already-existing
This article focuses on one already-existing version of what new schools might look like and explores some problems it faces in contemporary America.
already-mastered
Curriculum compacting was designed to eliminate already-mastered content and to provide students with enrichment activities in the time saved.