What is the most logical next event?

How to ventilate a conservatory
Draw colder air into the conservatory.
If, for example, you have a south facing conservatory adjoining a north facing room, you should draw air in from the bottom of windows in this room to get a good draught of cooler air flowing into the conservatory.
Install roof vents.
Since heat rises it is sensible to have some form of ventilation in the roof of the conservatory and one or more opening roof vents, depending on the size of your conservatory. You will need to make sure that you specify ones that provide good sealing and that are water and draught proof.