It looks interesting.
I've been having some difficulty picturing in what way the pendulum is connected and the basic operating principle.
To simplify, drawing it as a single cylinder engine, I'm coming up with this:

- IMG_20211206_114152295.jpg (133.12 KiB) Viewed 8974 times
Basically, remove flywheel and replace it with a pendulum. Is that about right?
But you have, what would be two engines sharing the same heat source/regenerator, the pendulum is also shared between them.
I'm not sure in what way the magnets would contribute anything.
The regenerator, I don't see functioning as an actual regenerator, more a temporary heat reservoir.
I would assume my simplified engine would work. At least I don't see any reason for it not to.
Can two cylinders share the same regenerator as depicted? I'd have to study and think on it some more.
Looking forward to spring, when you can get it built.
Though obviously different, it reminds me somewhat of another engine, if only because I can't quite figure out exactly how it works.
https://youtu.be/qMKC7AmAk5U