The London venue has purchased the freehold with a multi-million-pound loan from Lloyds Bank.
The group is set to open its 13th UK restaurant in May.
Ten pin bowling brand joins Odeon as an anchor of a new leisure destination in the shopping centre.
The franchied gym operator has signed a 15-year lease for the 12,000 sq ft site.
Developer Publica Properties Establishment is aiming to restore the art deco landmark built in 1937.
Avison Young and Watling Real Estate have reported a “significant level” of interest.
A reserved-matters planning application has been submitted to house the music venue in the developers’ Canada Water development from 2026.