10BASE-T: UTP category 3, 4, 5 cable (maximum 100m) EIA/TIA-568 100Ω STP (maximum 100m)
100BASE-TX: UTP category 5, 5e cable (maximum 100m) EIA/TIA-568 100Ω STP (maximum 100m)
1000Base-T: UTP category 5, 5e cable (maximum 100m)
The TP RE 350 has a 10/100 RJ-45 output.
So you are using WiFi to the range extender and hard wire to the computer? Then the bottle neck is the range extender. Look at WiFi 6 for greater range and speed. This should give you the range and speed thus replacing the range extender. Check you WiFi card speed capability 1st, may need up grading.
https://www.tp-link.com/us/wifi6/best-wifi6-router/
You are exactly right. I have posted in the TP-link tech support forum to find out if they make a range extender that has a high speed output jack. The only thing I need the range extender for is my pc.