2012 kia forte again car would not crank this morning

What is your question?

Car will not crank when cold thinking might be starter I checked new battery has 12 volts, again pushed car out of garage in the sun about 11:00 when I got home about 5 started car it cranked and fired up while running checked battery 13.6 volts turn off 12 volts changed out start relay, posts and cable ends clean free of corrosion, don't know what else to do but change out starter, could one of two be going bad and not kicking in when cold

What makes this problem better or worse?

Worse when cold

How long has your 2012 Kia Forte Koup had this problem?

Couple days