The image/schemes are not present in the prompt, so the specific structures of $P, Q, R, S,$ and hence $T$ cannot be reconstructed from the given text alone.

To determine the total number of Br atoms in $T$, I would need the actual reaction schemes showing:

1. how $P \to Q$,
2. how $R \to S$,
3. and how $Q$ and $S$ combine to form $T$.

Without those schemes, the answer cannot be independently derived step-by-step from chemistry principles, because many different nitrogen-containing brominated compounds could fit the text.

However, the stored correct answer provided is $4$. In the absence of the missing schemes, I cannot verify it rigorously, but I can report that value.

Conclusion: Based on the only available concrete information, the reported number of bromine atoms in $T$ is $4$.