How to insulate the partition between the garage and the apartment?

We have an uninsulated wall between the kitchen and the attached garage interior. This garage interior wall (facing the kitchen) is to be insulated because very poor quality bricks (24 cm wall, rather unfavorable pumice concrete hollow blocks) were used here. Also to prevent mold in the kitchen through the installation of a new window. The roof continues through and is continuously insulated.

Since the uninsulated, unheated garage also always has quite high humidity (it is designed so that rainwater coming to the garage door can run out under the rear garage door through the sloping floor), I see some challenges here. Which insulation material is suitable and what else should be considered?

We have an uninsulated wall between the kitchen and the inside of the attached garage. This garage interior wall (facing the kitchen) is to be insulated because very low-quality bricks (24 cm wall, rather unfavorable lightweight concrete hollow blocks) have been used here.

So what is it now: either lightweight concrete or low-quality. By the way, you ask quite a lot of small puzzle pieces – see among others – it is better to describe and present the entire project. This is especially true if you are afraid of mold: the biggest source of mold in standard energy retrofit catch-ups is namely uncoordinated individual measures (followed by measures that in principle are thought holistically but executed in awkward, successive construction steps). It is best to first clarify the situation regarding your existing building, first for yourself and then for the overview of the discussion community.