Span widths of self-supporting wooden frame ceiling

What is supposed to go into room 1 with a width of 79 cm? In my opinion, the short wall should be at least 1 meter longer. Should the roof, like the one beam, overhang? With wood, I can hardly imagine such a roof being torsion-resistant. Your example pictures both do not cantilever that far. Have a structural engineer design and calculate that for you. With a slim steel column, it will be significantly easier.

This is just a space for cushions for the chairs and everything that’s lying around in the garden... Therefore, it doesn’t need to be bigger.

No, the roof will be flush or the width of the drip edge. The overhanging beam there will have a swing attached to it.

Yes, I know that with a suitable support everything would be much simpler, but that would bother me visually because then you wouldn’t have a clear view of the garden but rather the support right in front of you.

If I also read Schaukel (gegen die Wand?), and Photovoltaics, and walking upstairs for installation. For me, it would be a wooden construction made of at least 12x12cm beams.

Swing was expressed a bit incorrectly. Like a hanging swing chair.

There is nothing against 12x12 beams. For me, it is basically only about the ideal structure. How thick the beams are later is basically irrelevant as long as the construction fits.

For me, it would be a wooden structure made of at least 12x12cm beams

For me, rather 20*10 (snow, wind, greenery, and photovoltaics are not without challenge). The cantilever on the short wall rather BSH 30*10. How the lifting forces are to be transmitted into the ground will be very interesting. Please post the engineer’s results here.