Just because it’s raining isn’t a reason to use wet lube. It’s thick, sludgy, horrible and will suck all the dirt and mud into the drivetrain and make it horrible. It’s best used for biblical rain or riding through rivers, or just not at all.
A wet lube may make more sense on the road where there’s little crud but a lot of water spray.
Just use dry lube. It’ll be fine in the rain/mud.
Or better, use a wax like Squirt.
Took a trip in the woods yesterday on my Mtb in dry conditions. Rinsed my bike when I got home
Did you really need to rinse the bike? If it was dry, dust off, store, ride again.