Stop in for a cup of coffee

I buried 100 feet of cloth covered weeping tile to take sump water away from my house, it used to exit above ground-uphill from my septic field. My washing machine also uses this drain.
Dry summers it works awesome.
If i was to do it again- i would bury it another 4” deeper and tee on the end with another 50 feet.
Its maybe 4” below the surface now. I did it about 6 years ago.
Im thinking i need to do something like this along my driveway,as is flat and doesent run off very well.

Yes I've seen fabric used for the material, sometimes with pipe. I may do something like this on a wet sloping part of my property, supposedly there's already a French drain in there but it needs help. There's a lot of natural ground water springing up in that area.