K-Type stars start out at near Solar-spectrum output, but move pretty far to the infrared by the time they get to the late end of their subtype. A typical K0V star might be close to 90% visual spectrum output, whereas a bottom end K7.5V is hovering around 30%, with most of the invisible output being infrared radiation. M-Type stars move even more dramatically in this direction.
As Aramis said, an M1V star like Pysadi's secondary will have a total output of about 4% of Sol's, but it will only look about 1% as bright, because three-quarters of this output is infrared. Note that infrared radiation would still have an effect on a planet's albedo if the star were close enough (higher, in some cases), but in this case the secondary is far too distant to affect Pysadi in this way.
Orbit 14 is 1200+ AU from the F9V primary. My rough estimate is that the M1V secondary will have an apparent magnitude of -11.4, regardless of its orbital relationship with Pysadi (a 3AU difference either way is not significant at the distances we are talking about here). That's about as bright as a half Moon here on Terra. As it's too far away to make out any angular diameter, however, the secondary will appear as a brilliant, singular point of glittering reddish light -- perhaps a little washed out in the daylight of the much brighter primary, but still quite visible.
If it flares (and stars like that typically do), it might briefly reach full Moon levels of brightness. Knowing the Pysadians, they probably attach some religious significance to that.