The schematic and the board photo indicate that it does not have a capacitor across the coil. Odd. The usual arrangement is this:
(Stolen from DIY Audio)
When C1 wears out, and starts leaking current, the relay won't have enough current to stay closed.
But, since we have the schematic, ZD401, R408, R451, R433, and TR408 are the relay driver circuit. The first thing I would check is TR408. When the relay drops out, touch the top of the transistor to see how hot it is. If you'd rather not do that, once the relay drops out, hit the transistor with a blast of free spray to see if the relay comes back on (If it were me, I would do this anyway if the transistor felt hot). If you don't have freeze spray, a
very quick burst from an inverted electronic duster can will work. If the relay does come back on, replace TR408 and you should be done. But, to be thorough, check R451 and R433 while the transistor is off the board. If they have drifted to lower resistance, the will overheat the transistor, and if they have drifted towards higher resistance, the transistor may not be able to provide enough current to keep the relay closed, especially after the circuit warms up. If the relay stays out, check ZD401. If you don't have the equipment to check the zener diode (A DMM and a variable power supply capable of exceeding the Zener's voltage), just go ahead and replace it with the exact part, or one rated the same Wattage and Voltage. They are cheap.