No points for identifying this bird as a pigeon or a dove. OK, you can have a very small verbal reward: “well done”. You are right, that plump body shape with a small rounded head and shortish bill and beady eye are very typically pigeon- or dove-like. It is also clearly one of the grey pigeon/dove species (the names pigeon and dove are effectively interchangeable); of which there are three in the UK. These are Woodpigeon, Stock Dove and Rock Dove, which in its naturalised form (from historically captive, domesticated birds) is called Feral Pigeon. Woodpigeons have pale eyes and Stock Doves black eyes. This bird has a red eye. The dark bill and oddly barred wings confirm this is a Feral Pigeon.
Typical pigeon shape Dark bill Red eye Odd wing barring
Typical pigeon shape Dark bill and red eye diagnostic Odd barring on wings