If Gala is already talking about a solution, then it will certainly turn out disadvantageous for you if you do not stand firm, because if he recognized that gross prices apply to you as a private person, then there would be no need to look for a solution.
However, one must not forget that your stated price might also be unjustified because you would be depriving him of the profit of his work due to his stupidity. It could be, but it doesn't have to be. Didn't the offer seem too cheap to you? Basically, it doesn't matter anyway, Gala can be assessed by very few or no consumers.
...between us, I always assume such things on construction sites are intentional, since as a client you are always the weakest link in the chain.
That something like this (net/gross, no written offer, etc.) only happens to you at the end of the construction work, namely at the exterior installation, is already strange.