First off doubt a 2013 RV furnace has a 'pilot'
It is a DSI (direct spark ignition) system
If you hear 'click, click, click' that is the spark electrode clicking
So that means fan has come on, got up to speed moving air, sail switch has made up (high limit switch also) otherwise spark electrode wouldn't get power to click.
You are experiencing failure of main flame.
With the stove top burners not lighting off you have a problem at propane cylinders.
As suggested close the bottle valve and then slowly open.
Open stove top burners.light them off on high and let burn then retry furnace.
Might take a few attempts for furnace until line has propane flow/pressure
IF stove top burners don't lite.....swap to other bottle (valve out one in use and valve in other bottle)
The hoses have excess flow valves in them and the one on in service bottle may be stuck closed.
Still can't get flow to stove top burners than problem is probably with regulator.