How cute is that triangle?

Geometry Level 4

In acute triangle $$ABC$$, we have $$\angle CAB = 70^\circ$$. $$D$$ is the foot of the perpendicular from $$B$$ to $$AC$$, and $$\angle DBC = 30^\circ$$. $$P$$ is a point on line segment $$BD$$ such that $$\angle PAB = 40^\circ$$. What is the measure (in degrees) of $$\angle PCA$$?

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