We are going to build an entrance roof and are sketching the design. The entrance is located in a corner between two exterior walls:
Floor plan highlighting a proposed entrance roof area in yellow, located at the corner between exterior walls, with dimensions 10x24.
Currently, the plan is to attach beams at the back and sides with cross beams at 60 cm centers. Slats are placed inside these compartments with a 3-degree slope, and glass is inset only in the three compartments above the entrance. Roof drainage is more uncertain - perhaps the water will just run off as I’ve seen many smaller entrance roofs do.
Sketch of an entrance canopy with glass panels between beams, attached to wooden exterior walls with a modern wooden door beneath.
My main concern is the dimensioning. It is a 3.6 m span and 0.9 m deep. In the sketch, I have 45x145 beams. I assume I need to brace in the middle somehow if I don’t want a large beam, but I would prefer to avoid posts. Would bracing anchored backward/upward work? Or can I manage with the solution shown in the picture?

All opinions, both small and large, are gladly received!
 
Sketching tension rods for this to reduce the dimensions of the beams. Does anyone know where to buy them? Google is not my friend in this. The chain is for drainage instead of a downpipe from the underlying gutter.
Sketch of a wooden pergola attached to a building, showing a chain for drainage instead of a downpipe and an overhead view of a drain channel.
 
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