The expression that can replace the open space in the question above is "will be available." Therefore, the full sentence would be "A new department will be available in our faculty next year."
We can arrive at this answer in the following way:
Based on this, we can see that the expression "will be available" is ideal to fill the open space, because, in addition to keeping the verb tense of the sentence, it is in agreement with the other words.
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