I think in fairness, it should be stated that HS2
will go into the centre of Birmingham, as near as dammit, as the intention is to build a new station at Curzon Street, opposite the Science Museum. Curzon Street station was the site of the very first station in Birmingham, and in latter years was used as a major Royal Mail sorting office and depot, in the days when the majority of cross-country letters and parcels were sent using the rail network. The site has been cleared for many years now, despite what Wiki says, and has been used for overflow car parking for the museum, and also as a helicopter landing pad; I recall seeing them there!
https://en.wikipedia.org/wiki/Birmingha ... ay_stationA spur will run off the HS1 line near Coleshill, north of Birmingham International Interchange station, and will enter the City Centre alongside the existing Birmingham New Street - Derby / Leicester railway lines. That's quite an easy bit of construction, although I believe a short length of tunnel might be involved somewhere; in fact the only major demolition work required, I'd think, would be a large area of student accommodation for Aston University, currently at the station's throat.
You can walk it pretty easily from Curzon Street Station to the Bull Ring in the City Centre, although it is uphill somewhat. It has been mooted to put in one of they pedestrian travellator thingies, and also to run a spur off the Midland Metro Tram network to it, but what the final configuration will be we'll see in 2029, no doubt. The Birmingham trams have their own problems at the moment - they've all been withdrawn (for a second time) with serious bodywork cracking, and will be out of action for around 4 weeks, last I read. They are Spanish-built CAF Urbo3s, and Birmingham is not the only network to have these problems, Sydney Australia have withdrawn all theirs as well. One is tempted to say "cheap build" but the truth is possibly more complex - both Sydney and the West Midland networks have (comparatively) steep hills and tight curves, and it's possible that these are to the detriment of the vehicles. They seem to be OK on other tram systems.