Since you did call, I think you are probably off the hook for the damage. You did your best, but accidents do happen. My guess is T-W will make a splice and be done with it. If it causes trouble in the future, then they might run a new cable.
All the utilities (phone, cable and electric) fund the "before you dig" folks. Seems strange that T-W doesn't have a standard Q&A item for their call center folks to refer to.
If you are going to run conduit, I would use PVC electrical conduit, and bring both ends up above grade level to an outdoor (NEMA 4) junction box. No matter how well you glue the joints, you should assume water will get in anyway over time. Hence the need to use direct burial cable even in conduit.
It's hard to say whether the cable company would use it for future cables. If you leave a pull string in place, they might. But pulling additional cables through a conduit that already has cables in it is often not as easy as you might think, though it might not be too bad with only a couple of cables. But they might just decide it's easier to bury a new cable.
All the utilities (phone, cable and electric) fund the "before you dig" folks. Seems strange that T-W doesn't have a standard Q&A item for their call center folks to refer to.
If you are going to run conduit, I would use PVC electrical conduit, and bring both ends up above grade level to an outdoor (NEMA 4) junction box. No matter how well you glue the joints, you should assume water will get in anyway over time. Hence the need to use direct burial cable even in conduit.
It's hard to say whether the cable company would use it for future cables. If you leave a pull string in place, they might. But pulling additional cables through a conduit that already has cables in it is often not as easy as you might think, though it might not be too bad with only a couple of cables. But they might just decide it's easier to bury a new cable.