The correct patter to validate numbers from 1 to 12 is the following:
(^[1-9][0-2]$)|(^[1-9]$)
The above expression is useful when you have an input with type number and you need to validate month, for example. This is because the input type number ignores the 0 in front of any number, eg: 01 it returns 1.
You can see it in action here: https://regexr.com/5hk0s
if you need to validate string numbers, I mean, when you use an input with type text but you expect numbers, eg: expiration card month, or months the below expression can be useful for you:
((^0[1-9]$)|(^1[0-2]$))
You can see it in action here https://regexr.com/5hkae
I hope this helps a lot because it is very tricky.
Regards.