I often feel I'm not using the National Library of Scotland site correctly, so I'm not sure if there's an earlier map to see, but I'm currently looking at a 1915-16 25" map which shows two tracks on the now-Metrolink viaduct and three on the now-park viaduct, becoming, as you move SWwards, five on the brick viaduct where Cornbrook tram stop now is. That's in addition to the two tracks towards Altrincham.
I also remember having heard previously of five tracks on the Cornbrook viaduct. But was it originally fewer?
Edit: here is the view under the viaduct a bit nearer in towards Central - two brick viaducts of different-looking ages, one of which may itself have been widened. The one on the right is the Altrincham one.
A squint into a couple of books covering the history of the CLC (Cheshire Lines Committee) and Manchester Central confirms the visual and OS map observations.
The original CLC viaduct to the new station at Manchester Central was double-track only, opened in 1877 and was apparently known as the
Cornbrook Viaduct. This was separate, of course, to the existing MSJ&AR's viaduct (vintage 1849) and is the one now used by Metrolink trams.
There was a significant expansion of infrastructure in the early 1890s, leading to the opening of the separate
Castlefield Viaduct in 1894 in parallel on the northern side. This is the one now part-derelict, partly used for the 'urban skypark' (2-star rating on Tripadvisor)
So, the route into Manchester Central did not meet the OP's criterion. It was another classic case of "built as double track, widened later".
I'm not sure how many tracks were carried on the northern Castlefield Viaduct at time of construction. Certainly there were three tracks in the mid-1930s, when the approaches to Manchester Central were resignalled with electro-pneumatic points and colour light signals. After resignalling, there was a pair of conventional up & down tracks on the northern viaduct, plus a third reversible line leading to the carriage sidings near Cornbrook Junction, making the five tracks mentioned earlier.