Attaching Fence Post to house
I would find the studs, bore a recess in 2x4 stock, drill and run 1/2" lag bolts with washers into the studs. That will provide the structure for both the latch and hinge side of your gate. It will be a wide gate so x-frame and and or install a turnbuckle system so you can tighten it up. I would put a wheel on the swinging end.
You should have framing members at the edges of the house and garage or whatever I am seeing so shouldn't have to search for studs.
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