Not the host, just another entrant who read the FAQ closely for the same reason. What it says:
- "Please submit each game on one platform only, either itch.io or TapTap, not both." That's about the two jam portals, so your plan of one entry on itch is fine on that point.
- It doesn't say anything against a plain release elsewhere, and under "Can I submit my jam game to other competitions afterward?" the answer is "Absolutely!"
- The part to watch: "Updating, replacing, or deleting the game before winners are announced will invalidate the entry." So keep the itch build frozen after the deadline. If the TapTap copy is the same build, I'd say that clearly on its page.
- If your game uses the theme track: "within your jam submission only... cannot be reused in other projects or future releases." A TapTap release might count as outside the submission, so I'd leave the track out of that copy or ask the host first.
For a firm yes, the thatgamecompany Discord is probably faster than this board.