I would extend the garage to the front and widen part of the existing sufficient to fit the car in. You could come to the "front" or possibly further to the building line where the dining room ends (obviously PP dependent). One of those faux pitched roofs on the front would improve the aesthetics.
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This could be a good option with the most amount of space gain.
What are the faux pitched roofs you mentioned? I've never heard of them

