IP phones on BCM do not use a specific DSP and do not need a DSP for their initialization. DSP tasks are created as needed when an IP phone uses a voice path that traverses from IP to TDM.
To use more than 32 IP phones, you need a license (keycode) that allows more than 32 phones to be registered. If all licenses are in use, additional phones would show the text "NO PORTS LEFT" on their display (if I remember correctly). So, you should probably start by looking at the keycodes in Element Manager to see how many IP set licenses you have.