There arte two ways that one can close the bottom of a tubular brick bag. You can also just sew across to close it. I close the bottom of tubular brick bags with a single row of square stitch. What you prefer to do affect how you attach the fringe, but in the end then fringe or a row of picot edging/fretting will hide the closure across the bottom.
Method 1-Sewing close the Bottom
This drawing below shows two view of the bottom of the finished body of the tuburlar brick bag.

The next drawing shows the purple thread used to close the bottom ot the bag in whip stitch.

When you just sew the bottom of the bag closed, you fringe the bag just like a brick stitch earring.

Method 2-Closing with a Row of Square Stitch
It's more complicated to close with square stitch. shown below is diagram viewing the bag from the botom

When you view the bag from the front as you will be wearing it it looks like this before fringing. The holes of the row of square stitch are facing you .

You can then fringe the bag the same way that you normally do a peyote bag as shown below using each bead of the square stitch row as an "anchor" for a row of fringe. You go through the anchor bead, string on the fringe beads, loop through the bead at the end of the fringe so it sits at 90 degrees from the other beads on the fringe, return back up the fringe, till you come to the top. At the top of the fringe you enter through the opposite side of the anchor bead that you came out of to start the fringe. Go through the anchor bead, Now you are ready to enter the next anchor bead and then string on a line of fringe. Orange and Yellow are the colors of the thread that you would see if you had X-ray eyes and could see through the square stitch bead to its other side. The red thread is the thread path that could see without X-ray vision.

I usually hide the thread that shows in the row between the last ros of brick stitch and the row of square stitch used to join the two sides with a row or picot edging.
