Lighting recommendation for roof overhang

I wasn't talking about the LED strip, but basically about the supply line to the sub-distribution board (garage), starting from the main distribution board or meter cabinet (main house)

Oh, I see. Yes, in that context, the LED strip is completely irrelevant.
I wouldn't go below 32 A in the garage. The 11 kW wallbox can already draw 16 A if desired, and then you might also want to connect a larger electrical device. For us, for example, that's always the log splitter or something similar.

According to the online calculators, with a maximum 3% loss and 26m length, a 4mm² should be sufficient. That means, with 6mm² or 10mm² I would be on the safe side for an 11KW wallbox. The rest, like the garage door motor, interior lighting, exterior lighting, 3-4 sockets should then fit. Would I have any disadvantages with 16mm² (except the extra cost for the copper cable)?

You never know if the charging power of the wallbox might increase in the future or if you equip a garage with photovoltaic modules.

More is always possible and has no disadvantages per se! It should just be properly secured and the potential capacity should be available in the building. You don’t want someone to come up with stupid ideas at some point. Depending on the installation method, you could even push 63 A through the 16 mm².

How would the installation method affect:

4m surface-mounted
20m empty conduit/Kabuflex or KG pipe in the ground (probably KG pipe not allowed)
2m flush-mounted
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26m

DIN VDE 0298-4. I would take the lowest value.

I had a similar "problem" as you. Garage is 36cm on the side and the house/garage canopy cantilevers 1.50m. In the canopy, I had Halox boxes installed from the concrete plant, where spots will be placed.

Do you still plan to insulate your garage?
We insulated all around the cantilever (garage), otherwise a thermal bridge would have formed and there would have been a "mold risk" in the corner inside the garage at the top near the wall. —> if I had known that beforehand, I wouldn’t have let it "hang over". So much for the backstory. Due to the insulation, the spots there have now been removed (they wouldn’t have worked anyway at 40cm in the end) and we pragmatically left cables in the wall for upside-down lamps etc.