\(ABCD\) is a convex quadrilateral such that \(\angle BAD=56^\circ\) and \(\angle ADC=108^\circ\). \(DC\) is produced to \(P\) such that \(\angle BPD=52^\circ\) and \(BC\) bisects \(\angle ABP\). If \(\angle BDC=35^\circ\), find \(\angle ACB\) and \(\angle ACP\).
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