Any idea about whether you can use Ventoy to create a GPT rather than MBR device?
Why would it matter, what difference would it make?
Only if a machine you want to install to can't boot from an MBR-based USB stick, which would be unusual, but I guess some Windows UEFI / Secureboot may go there?
For older machines I expect that many may not boot from a GPT stick at all, you'd have to test it, but there's no intrinsic advantage in GPT over MBR in this situation.
Just checked https://www.ventoy.net/en/doc_disk_layout_gpt.html and it appears so but am unsure about how to create this if you simplydd
the ISO to a disk...
That page looks sound, as all the Ventoy docs do, so you could certainly try that on another stick.
But either way, once you've chosen what type of FS to use for the main partition - the default exFAT makes most sense, and is easily installed on Freebsd - you still need to copy (cp(1)) your installation .ISO or .img files to the main partition; you do NOT use dd.
It looks like there are options when you use the Windows installation app.
Or Linux, as per that page.
Whether this may help with your original problem is something else. You say 13.1 didn't work, so try 13.2, then 12.4 ...
Good luck!