Can I run multiple syndication live runs with the same currency pair?

Yes, Tuned will track the balances of each of your live runs independently.

Note: Let's say you began a new live run with 700 USDT, while your account contained 1000 USDT. When starting your next live run, assuming no other changes, Tuned knows how much you've already allocated, and will display the remaining balance. In this case Tuned would let you allocate 300 USDT to your next live run.