3rd Monday in Month formula help

Hey peeps,

I am looking for a dynamic formula that returns the 3rd Monday in February based on a year value.
I am using

=DATE($A$1,2,25)-WEEKDAY(DATE($A$1,2,2))

Where A1= the year value.

This formula works perfectly, except when the 1st of February is on a Monday, then it returns the 4th Monday of the month. What am I doing wrong?