Turns, Brake are on Fuse 4; Headlights are on Fuse 9 - neither of these circuits has any influence on the running lights
The Tail/license plate lamps actually have two fuses in play - Fuse #8 and Fuse #10.
Turn your key-switch anti-clockwise past the 'lock' position to the Park Position - does tail light come on?
If it does, fuse 8 is the problem.
If it does not, then more likely fuse 10 is the problem.
The best way to check is to test the voltage actually at the fuses:
Set your voltmeter to read DC Volts and put the black probe on the battery negative;
Turn on key to normal 'run' position and touch the red probe, in turn, to the small exposed metal tabs on the tops of Fuses 8 & 10; (there is no need to remove the fuses)
you should see 12V at all 4 tabs (each side of fuses 8 & 10)
Whichever tab is missing voltage will tell you where the problem is.
*If the voltages all read good, then ensure that you have not rubbed through the harness to the tail light, under the fender, with the tire.*
I have even pulled the LED headlights and put everything back to stock and went through it all but can add the running lights in the stock headlight were affected also.
* edit - missed this part so ignore that last comment - since front is also affected almost certainly one of the fuses.