Yes, I've been running this bike almost a year.

I suspect my stator is going out because my battery sometimes dies. I replaced the battery when I got it with an AGM.

When it died I just jumped the clutch safety with a paperclip and push started it.

I had to push start it four times today and it blew a fuse.

Can push starting do that?

EDIT: my neg battery terminal was loose, it may explain the blown fuse right?

I don't know if the neg. battery post being loose would blow the fuse, but it would explain your battery dying , as it couldn't charge without the circuit being complete. I would also conclude that your stator is ok ,because that would be the only other supply of power to keep the bike running once started. Charge your battery and your starter should work (unless you like push starting)
      I would also conclude the reason for your bogging to be the fact that your spacer is completely missing , at WOT ( wide open throttle ) your fuel mix could become to rich to ignite (lots of fuel and no air )  . You need to replace it with either 3  #4 steel machine washers ,if your elevation is above 1,000 ft . or 2 washers if below that -as a general rule of thumb. the PO may have removed it thinking he could run just the header or a piece of wide open pipe  ,or he didn't know spit! the motor would have run poorly and got bad mpg -40 or less.
       If you can't read the jets they can be bought for less than $10.00 each.

I forgot ,there should be a brass washer on the main jet ,between it and the needle jet ( the cylinder with the holes) it holds that fully up in the carb body (otherwise fuel can move around it) that would also make you run rich . a site like- Ron Ayers- has expanded views and part numbers of most of the bike ,and is good to view if you have doubts about assembly.
  Lowes  ,usually has the washers, use  steel , as the brass ones are usually thicker.

The larger jet had some sort of picture on it like a square inside a larger square. And maybe the number 4.

The smaller jet had nothing identifiable.

I added the washers, we'll see what if any difference it makes tomorrow.

I did not have replacement jets, they can be replaced if the washers make no difference.

Here's what I found out, adding the two #4 stainless spacers over the needle did make a noticeable difference.

I noticed I am able to throttle up with less hesitation ( previously if I gave too much throttle too quickly the bike would hesitate)

Pulling the (choke?) Out gives a more noticible performance boost on the freeway.

If I'm at max speed on the freeway letting go of the throttle now causes popping when it did not before.

The bike still bogs if I max out the throttle, but not as badly as before.

I will get the jets recommended.

As for the washer between the needle and the jet, is it accessed by removing the jet or from the needle side above the jet?

So you were way too rich because of what the PO did with the needle.  I would add two more washers or get a stock white spacer and get the rest of the jetting back to stock (or something close to what Batman recommended.)  At that point, it should run reasonably well and you can fine-tune it from there.  If not then you'll have to figure out what else is contributing to the issue.

I live in Los angeles.

To specify.
on the freeway when I have the choke pulled out, (it feels like) I am able to turn the throttle slightly further before it bogs. (But not by much)

The bike will still bog if I try to accelerate too quickly.

However at idle and when at top speed the bike now sounds more like other motorcycles I've owned.

It could just be my perceptions? Because it now sounds more like my previous bikes I feel as though it's running better.

I'll order the jets.