When you turn lights on, power goes to headlight change over switch and is fed to driver side lights. This is for low and high beams. The passenger side lights get power from splice S202 and S152. Both splices are on the driver side light wires. Also before going to passenger side lights, wires go through a connector. So make sure connector is good.
And make sure the black ground wire for passenger lights has a good ground.
I suggest downloading the 99 service manual for wiring diagram on page 8-47 I'd say download the 98 service manual, but for some reason it's missing the wiring diagram section.
So your first job is to get your multimeter out set to dc volts. Turn lights on. See if passenger lights get power on yellow and light green wires. You will have to toggle headlight change over switch to check low & high beam circuit. If no voltage at lights, go back to the connectors and check for battery voltage on the 2 wires there.
If no voltage at connectors, you will have to go to driver side of car and find splice S202 & S152. Check for battery power at splice. Since driver side lights work, the splice would have to be the problem.
So what you are looking for is where battery power disappears from splices on driver side lights to passenger side lights. This is assuming the black ground wire checked out as OK earlier. If you have battery power at lights and lights don't work, then black ground wire is suspect.
If no ground to passenger lights, lights won't work even with battery power at lights. So in this case, turn light off, disconnect battery cable. Disconnect connector at passenger lights. Follow ground wire to where it grounds to car body. Disconnect ground wire. Set multimeter to resistance and check ground wire for continuity. If bad, replace ground wire. If good, try cleaning the place where ground wire connects to car body.
Starting on page 8-72 is the component location chart to help you find ground G105, splices S202, S152, connectors, etc.