Does mold in a loggia means that the loggia must be replaced?
With the amount of condensation I see you may need to take multiple paths forward to reduce the condensation that is creating the mold growth.
The first and least expensive thing I’d to add a dehumidifier to reduce the moisture
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The second thing would be to upgrade the framing and insulation.
One of the window pics looks like double Pane the others look single upgrading to fully insulated windows and frames can reduce the amount of condensation further than dehumidification alone.
To eliminate the mold I would use a 3% solution of hydrogen peroxide and water sprayed onto the ceiling and wood surfaces to kill the mold.
The great thing about hydrogen peroxide is it doesn’t stink and when done it leaves no chemical residue it breaks down into water and oxygen.