The capacitor charges through the resistance of the relay coil. The current is high initially, which pulses the relay, and then it dies off with an inverse exponential as the capacitor voltage approaches 12.6V (Classical RC circuit). After the inital current pulse through the relay, the capacitor voltage sits at the battery voltage until the Ign switch is turned off. Current cannot flow through the relay coil while both ends are at 12.6V.
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