Correlation matrix shows $0.6$ between independent variable $x_1$ and $x_2$, keep or drop?

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Given Correlation Matrix enter image description here

There seems to be some correlation between two of my independent variables Bedrooms and Bed.

This is what the metrics shows before and after I drop one of the variable

  • Before dropping Bed
    $R^2: 0.73$ and $MSE: 683.058140$
  • After dropping Bed
    $R^2: 0.70$ and $MSE: 754.998619$

It seems like keeping both of the variables give a better. Does that mean I should ignore that the correlation is high between the two variables?