Hello!

I have a longitudinal dataset, which contains observations of individuals between 2008-2017. I want to examine only one year period, but it contains too few observations, that is why I have decided to combine all the years to make a pool. However, now, I am not sure what kind of regression to choose in order to find out the relationship between the dependent and independent variables. The types of variables are illustrated in the table below:
Response variable dummy
Variable of interest dummy
Control variables different ones (dummy, float, etc.)
1) Could you, please, help me by recommending what kind of a model to choose?
2) May I just use probit regression by not paying attention to years while using the pool regression (similar to that one I would use if I worked with cross-sectional data)?