You have good insight on which puzzle pieces were some of the more awkward to install.

In addition to the things you've mentioned, the tree trunk is neither perfectly vertical nor symmetrical, which meant that each brace had to be treated as a unique thing from a dimension standpoint. Here is what I did:
I knew that I wanted each brace to project down and inward towards the tree at 45 degrees. I also wanted each brace to be plumb with the center line of the structure, without too much regard for where it happened to intersect the tree. With that in mind, I snapped a chalk line on the tree with the top end being on the center of the structure on that side. I then got my tape measure and attached the free end to the underside of the floor where I wanted to attach the top end of the brace. Then, standing on the ladder below, I pulled in the tape measure and used an angle gauge to determine when the tape was at 45 degrees. I projected that line to the tree, measured the span and than became the lower dimension of the beam.
Once the beam was cut to size, I pre-drilled it for the bracket and temporarily mounted the bracket with through bolts. The tree was rigged with two sets of lines, one for holding a work piece and one for holding me. I attached a sling to the balance point of the beam, hauled it up to the approximate height and locked it off with a knot.
I was clipped in to my own belay line with a mechanical ascender, so I could climb to any position and secure myself there. Once in place, I manipulated the beam until it was oriented correctly and hauled it the rest of the way into position, locking it off with another ascender. I backed up the ascender with a ratchet strap to put more tension on the piece and hold both ends securely in place.
The mounting bracket attached to the tree has three holes, arranged vertically. With the beam in place, I could drill the topmost hole in the tree through the hole in the bracket. I placed a lag screw in that hole and loosely attached the bracket. Once secure, I removed the beam from the bracket to make room for drilling the other holes. The bracket hung plumb from the top hole, so I drilled the bottom hole and secured it with a lag screw. Then I drilled and secured the middle hole, finally torquing all the lag screws down.
Now that the bracket was secure, I rebolted the beam to the bracket and torqued the through bolts down. The bracket and the rigging were holding the beam in place, but the top end needed fine tuning, so I climbed the ladder higher, locked the ascender onto the rope, leaned back and pushed away from the ladder onto the underside of the structure. From there, I wrapped my legs around whatever beams would keep me in place and used a clamp to align the top of the brace. Finally, I tacked the brace with a nail gun, which kept it in position so I could get on top of the structure and install the Simpson steel from above.
All told, it wasn't exactly difficult, but it was time consuming.