Are you using metal frame? Your detail does not seem in-line with typical wood works, especially the corner.

My issue is with the coroner.. I am not sure how can I support the overhang joists and fascia beam. I was thinking to extend the beam below but I am afraid it will ruin the appearance.




The steel beams are with blue colored

Moonknight:
You would do well not to get the coroner involved in whatever you design.

dhengr:

Meaning?

Here’s how I would tackle the corner:

Yellow = cantilever steel
Blue = simple beam
Red = cantilever Steel from A-B and backspan from B-C.

Top of all steels to be flush with top of timbers so you won’t see any downstands. Keep moment connections small so they don’t foul the soffit line.

I’d also be inclined to throw an X brace in there on plan - because engineers love triangles..

Obviously lateral stability needs to be considered separately.

I cant extend these 2 steel beams as they are below the joists level.

I am thinking to tackle it as follow, the deflection is within the acceptable limit with this layout.

On your original layout, the member elevation is questionable, but looks like you have caught and revised later (but the fascia board does not looks correct). If not, please check the elevation with question mark. Also, are the over hangs continue into the interior?