The Lamp Out Module is passive, doesn't in itself determine whether any lights going through it come on, so a reset would do nothing... except reset a message on the display perhaps, but not change whether any lights it senses, work or don't. Plus, it does not sense fog lights at all, AFAICT. They don't run through it, while a physical fault on the LOM PCB, could cause other lights that go through it to fail, like headlights, but there is no report of right headlight low beam not working, so we can rule out the LOM.
Nothing you have stated about fuse #s is different between your '00 and the fuse designations I have for my '98. Fuses 24, 28, and 33 are not related, fog lights should still work without those fuses installed at all. I can only assume that when you checked fuse #4, that you checked the correct fuse #4. There are two fuse #4's in the power distribution box, the larger one is for windows, seats, and moon roof. The smaller #4 is for fog lamps and daytime running lamps.
Let's go over what we know for certain. Your dash switch has to have a good ground or else the backlighting that comes on with the other interior lighting would not work. This is the same ground used to ground the relay when triggered.
When the switch is turned on, it should result in very low resistance between pins #3 and #4. If it does not, stays open circuit, then the switch is bad.
If it does create a low resistance connection between #3 and #4, check for low resistance between pin #3's corresponding connector contact, and the fog lamp relay socket contact #2 as shown on the diagram I posted previously. If you don't have low resistance between these two, either a contact or the wire itself between them is faulty.
If you do have low resistance between these two, check resistance between either of those, to chassis ground. Without the relay plugged in, it should have infinite resistance aka open circuit.
Then there is the power wire itself to the fog lamps and the switch-on indicator bulb. You should measure very low (under 5 ohms) resistance between the relay box contact #5, and both the fog lamp socket positive contact, and/or the dash switch contact #6. Check one or the other, no need to check both. If this is bad, I suspect bad contact(s) or a damaged wire, probably near the relay box for it to affect both the dash indicator bulb and the fog lights themselves.