Nonsense. You could not be more wrong.Condensation is purely an air circulation issue caused by a lack of airflow within the building
To the OP..
Yes you can foam fix insulation boards and foam fix plasterboards. Or you can mechanically fix or even mix it up. Or you can fix battens or even a stud wall. Up to you how you want to lose/use the space.
You can use insulated plasterboard but I recommend fitting in separates. The pre-insulated stuff I've seen is rarely flat and rarely top performing insulation.
50mm Celotex insulation board at a minimum.
Green moisture board is not necessary unless in a bathroom etc.
Your symptoms (black spot mould) are typical of condensation related moisture. It occurs in poorly ventilated and poorly insulated areas subject to cold bridging. They work hand in hand so need to be remedied accordingly. Ventilation alone will not work.
Boba and Jonny have given you well meaning but conflicting advice.
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