LinAlgError Singular Matrix error for logistic regression

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I'm getting a "numpy.linalg.linalg.LinAlgError: Singular matrix" error when fitting a logistic regression model.

I know its coming from feature X which is 0 for all samples and when I'm looking at X_train.corr() its NAN.

I can't exclude this feature and I'm using statsmodels because I need cov_params() which sklearn does not have (which is why I cant uses method = bfgs also)

Correlation matrix: corr matrix

enter image description here

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