1:05
0:00
= 2*atan(294/(638/tan(70/2)))
= 0.429934597 rad
= 24.633437874819009 degrees
Put that through the angscaler, and that puts the star at 229000000km away at a low end, and 133270000000km at a high end. Now for the timeframe.
(Low end)
T = 229000000km/55s
= 4.16363636e9/299792458
= 13.888396 C
(High end)
T = 133270000000km/55s
= 2.42309091e12/299792458
= 8082.56127 C
And that's just the expansion of the star. Mooncake gets back to the ship even quicker.
Final Results
Mooncake saves Greg from a supernova (low end) = >13.888 C
Mooncake saves Greg from a supernova (high end) = >8082.561 C