International student and pharm D residency

#1
Hello, I am graduating from an US pharmacy school in 3 years. I am very interested in doing a PGY-1 residency after I graduate. I just realize that Pharm D degree is not eligible for STEM extension. So I will only have 12 (or 14) months OPT time to work after I graduate... A residency program is usually a year but I am not sure when the programs usually start.... If it doesn't start right after I graduate, then I wouldn't have enough OPT time to complete a 1 year residency program. Does that mean F-1 student can never do a residency program? I am very desperate now :(
Has anyone done residency as an F-1 student? Does anyone know how this would work or know if it doesn't work?
 
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