Please reason step by step, and put your final answer within \boxed{}.
The inscribed and exscribed circles of triangle $\mathrm{ABC}$ touch segment $\mathrm{AC}$ at points $\mathrm{P}$ and $\mathrm{Q}$, respectively. The lines $\mathrm{BP}$ and $\mathrm{BQ}$ intersect the circumcircle of triangle $\mathrm{ABC}$ again at points...
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