Actually D2 + T3 => He4 + n + gamma. That is a fast neutron and the rest of the energy is in the gamma.
The tritium is produced by fast neutron absorption in the Li-6 {Li-6 + n => He4 + T3 + gamma} blanket and needs to be extracted from that and fed into reactor to fuse. Unfortunately the lithium-neutron absorption process is inefficient, so a layer of U-238 is usually added between the reactor and the blanket as a fast fission neutron multiplier to produce the required tritium production.
The neutrons from the fusion reaction react with the neutron multiplier then the blanket where some are absorbed to create tritium to sustain the process. The rest of the neutrons are absorbed by various structures and shielding. The gammas, a byproduct of almost every nuclear reaction, are likewise absorbed in the blanket, structure, or shielding. Heat energy extracted from the blanket (molten lithium) is used to produce power.
It is interesting to note that they are proposing to use an open Brayton cycle turbine engine rather than a conventional closed cycle steam loop. This is likely to be controversial due to the single containment between the tritium and atmosphere rather that the double containment in the steam cycle designs.