Yes, Richard, both newer and different. Sandwell Aquatics Centre is in Londonderry Lane and costs £23 per month membership. It was built for the Commonwealth Games and adapted for public use.
https://www.slt-leisure.co.uk/our-centres/sandwell-aquatics-centre/ Free swimming for under 18s and over 60 for Sandwell residents. There's no public parking by design, so time will tell if the public transport links are enough for people further away to travel there. I think that Birmingham residents would have to pay full fees.