There certainly does appear to be a lot of condensation.
First, I'd identify the pipework outside and reassure myself that there are no leaks. That means outside and where it passes through the cavity, although that would be difficult to identify and perhaps beyond a DIYer. It looks like there is a pipe pointing downwards. What is this?
There's also an overflow. Is this flowing/dripping water?
It looks also as though the dpm has been breached.
Does your neighbour suffer any damp/condensation on this wall upstairs?
Once you've assured yourself that the moisture/damps is not being caused by water from above or damp from below, I'd definitely install at least 2 vents through the external wall, one low, and one high. Perhaps low behind the front door, and one at high level by the upper door.
the pipe pointing downwards is an escape for the pressurised boiler system
the overflow is the central heating flue
we're the flat that is upstairs but the ground floor neighbour does not get damp