I swear I've seen something similar like this before.
6 months after the fact, but it's not possible. The numbers excluding Binah's 999 and the 150 trio only add up to 121, meaning you can't beat the trio without taking the 3x, leaving you at 363+150, meaning you lose to Binah with 513 to 999. Even if you had another 30 more to barely beat the trio, you'd still come up 97 short with 301 * 3 to end with 903.