You’re correct. Fixed above.
You can also see the fasces on the wall pre-remodel, famously and ironically in the photos of FDR declaring war on Japan (e.g. on the middle left in this photo):
A clearer photo here:
The House used the fasces to represent its sergeant at arms (i.e. its protector) starting in 1789. The symbols we see there are replicated all over American government architecture, and aren’t declarations that the U.S. is a fascist state.
