Feature Engineering of mixed data type column
You have several choices. Among them try these:


Discretize your target and use chi-square association measure or Cramer's V to see the association between variables.
The other way around i.e. convert availability labels to numerics and simply try different association analysis methods like Correlation (Pearson, Spearman, Kendall) or Mutual Information.


PS: Please note that Spearman or Kendall Rank Correlations can also be applied to your categorical variables as they are ordered (dates).