Installing the broadcom-wl, akmod-wl packages and then running the above commands again fixed it for me.
[user@host ~]$ rpm -q -a akmod-wl kmod-wl\*
akmod-wl-6.30.223.271-46.fc37.x86_64
kmod-wl-6.2.8-200.fc37.x86_64-6.30.223.271-46.fc37.x86_64
[user@host ~]$ rpm -V -a akmod-wl kmod-wl\*
[user@host ~]$ sudo rpm -q -l -a akmod-wl kmod-wl\*
[sudo] password for user:
/usr/src/akmods/wl-kmod-6.30.223.271-46.fc37.src.rpm
/usr/src/akmods/wl-kmod.latest
/lib/modules/6.2.8-200.fc37.x86_64/extra
/lib/modules/6.2.8-200.fc37.x86_64/extra/wl
/lib/modules/6.2.8-200.fc37.x86_64/extra/wl/wl.ko.xz
[user@host ~]$ sudo ls -l /usr/src/akmods/wl-kmod*
-rw-r--r--. 1 root root 5803633 Jan 3 01:09 /usr/src/akmods/wl-kmod-6.30.223.271-46.fc37.src.rpm
lrwxrwxrwx. 1 root root 36 Jan 3 01:09 /usr/src/akmods/wl-kmod.latest -> wl-kmod-6.30.223.271-46.fc37.src.rpm
[user@host ~]$ sudo akmods --force --akmod wl
Checking kmods exist for 6.2.8-200.fc37.x86_64 [ OK ]
[user@host ~]$ akmodsbuild /usr/src/akmods/wl-kmod.latest
* Rebuilding /usr/src/akmods/wl-kmod.latest for kernel(s) 6.2.8-200.fc37.x86_64: prep build install clean; Successfull; Saved kmod-wl-6.2.8-200.fc37.x86_64-6.30.223.271-46.fc37.x86_64.rpm in /home/user/
[user@host ~]$ sudo rpm --force -i ~/kmod-wl-*.rpm
[user@host ~]$ sudo modprobe wl
[user@host ~]$
After a reboot, I’ve got my WiFi interface back and running!
Thanks @vgaetera for the quick response!