Run the engine and stop it with full choke applied.
Pull the number two spark plug. If it is not firing, it will look clean, but be covered with raw gas.
This will tell you fuel is getting to the engine and the carburetor is doing it's job. If dry, the cylinder can't run without fuel.
Another test is to swap the spark plug with one from a cylinder that is known to work. Does the problem follow the spark plug?
You can also swap the igntion leads between 2&3, as they both fire at the same time. Does the problem follow?
With the lead connected to the plug, lay the plug body onto the engine and start the motor.
1. You should get violent bursts of air pulsing out the spark plug hole at each compression stroke. (an indication of compression)
2. You should see spark jumping across the electrodes.
If you have fuel, spark, and compression the cylinder should fire, at least some of the time.
The low vacuum could be an indication of poor compression or valve issues with #2 cylinder.
You can also remove the valve adjuster caps to watch the valve movement compared to other cylinders. Watch for equal excursion.
Were it me, I'd do a compression check. But, I have the tool on hand.
Good luck!