The FAF client bundles with a 64bit Java runtime. We dropped official support for 32bit ~3 years ago.
All modern CPUs for the last 15 years support 64bit except for Intel Atoms which won't run Forged Alliance anyway, all Windows versions since Windows 7 had a 64bit edition on launch 2009 (even XP had one, but that launched four years aftetr release in 2005).
There is no reason to run a 32bit Windows in 2022.