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If you click on WLUC in the TV fool plot, you can see the terrain the signal needs to cross to get to you. It doesn’t look good. To have a chance of getting the station semi-regularly I think you would need to get an antenna high enough to be in the pink on that elevation profile. That would put it taller than the peak that is close to the bottom right of the profile image.
For RF35, the Pwr is -117.2 dBm. For a 6MHz wide channel (which is what TV channels use), thermal noise is -106.2 dBm, meaning on the plot you linked to the noise is stronger than the signal.
You could put up a tower or mast that is hundreds of feet tall, get/build 4 cut to channel yagis with 20+ dBd of gain, build a perfect signal combiner, have the lowest noise amp and the best cable ever, and still have a dice roll for reception.
Do you have any friends closer to WLUC; do they have high speed internet? Do you have high speed internet? A much cheaper solution to the above extreme measures would be a sling box. At your friend’s house either use an existing antenna or put one up, and run it into a sling box. Then at your house attach a computer to your TV. The sling box grabs TV at a remote location and sends it to your location.
The reason you can get 13 from the same direction as 35 is 13 is a VHF station and they bend over terrain better than UHF does.
I would not spend any money on OTA at your house until I looked into sling options. The antenna you have looks like it should do well on VHF stations which realistically is all you will probably get. (From looking at the elements, most of it is designed for VHF-low, 2-6, but if it is getting RF13, it has enough gain for VHF high.)
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