Do I have to remove the motor mount on passenger side to get to a freeze plug?

Dave, depends which one on motor passenger side, but I would say yes remove it to gain better access PRESS THE HELPFUL BUTTON
Replacing Freeze Core Plugs In My Truck Part 1

Freeze plug removal 94 150 by an 11year old part 1

Freeze PlugsAlso called Engine Block Expansion Plugs

1989 Ford F150 Motor Mount Removal to Get to Freeze Plug

most auto parts stores carry a variety of freeze plugs, they dont have a dealer part number they go by size

The freeze plugs are spaced out in a straight line along each side of the block. If you see others at the same height in front or behind where the motor mount is, then yes it probably is a freeze plug.

Put a jack under the engine with a block of wood between the oil pan and the jack head. Raise it slightly to remove the motor mount through bolt, then remove the mount from the engine block. Now you should be able to replace the plug. Use a punch to drive in one side, then grip with pliers and pull it out. Clean the recess before installing new plug. Auto stores stock them in all dimensions, or take your old one in for matching up. The rubber expansion plugs work well, too, and easier to install.

Yes there would be a welsh plug in that area and it is probably rusted out.

if you remove the engine mount then you must put a jack under the engine in safe area not to damage sump etc , to get old core plug out carefully drill a hole off centre of it and prise it out , clean and check hole surface , if ok then put sicaflex type glue on new core plug and hit home to same depth the old one came out !

Yes there should be three plugs on each side of the block.

If the car is at operating temperature and the water is cool then it could just be air conditioning condensation.. Air conditioning units are usually located at the passenger side of the engine. If it is cool water it is nothing to worry about.

Yes there are three on each side

Remove the motor mount for another freeze plug is behind it

i would hardly call this repair simple or inexpensive. the part itself yes the labor probably not. i have made this repair myself to my 97 jimmy if you have 4 wheel drive the transfer case up front makes this repair next to impossible from the underside of the car plus the fact that it is behind the motor mount means the the mount must be removed. this involves raising or removing the motor. simple? on a car of this age you will probably find (as i did) the motor mounts are damaged might as well replace them too the parts are fairly inexpensive. also look into replacing all the plugs so you dont have to do this again in a few years. oh yea use the proper antifreeze mix in your radiator water is what rusts out the plugs