There is no way to adapt phase array for any price ($40 000 won't help), since this black box do not know frequency/lambda and do not know direction.
For phase array to work, you need to integrate full DVB-T2 receiver and somehow synchronize it with your TV set. When you select channel on TV, DVB-T2 tuner in antenna should switch to the same channel and adapt phase array to maximize SINR
P.S. Even $40 000 investment won't change polarization of vertical monopole to horizontal.