Double slit experiment combined with Stern-Gerlach

[Nocturnial]

TL;DR Summary

Would you still see an interference pattern if electrons were put through a Stern-Gerlach device after the double slit?

A bit of background: I've read Derive the probability of spin at arbitrary angle is cos( ) | Physics Forums post in this forum and went into a "thought rabbit hole". It didn't make any sense to me and I think I made a wrong assumption somewhere along the way. Instead of typing everything out, I thought it would be helpful to split my assumptions in several different posts.

In a double slit experiment with electrons you'll see an interference pattern (with enough electrons fired). Suppose after the double slit you put a Stern-Gerlach type experiment. Would you still see an interference pattern, but it separated into two rows depending on the spin or is the interference pattern lost?

 

[DrClaude]

The exact result depends on the details of the experiment, like the relative orientation of the SG with respect to the slit, the SG separation compared to the size of the fringes, etc., but yes, the SG spots would each show an interference pattern.