OK here goes...
I am looking at another manual, for a 201k, for reference, pages 24/25 of the manual itself, not the PDF file:
https://cdn.shopify.com/s/files/1/07...ER-201K.pdf?15
There are at least 2 issues to deal with on this, 1. how to lift the tension when you lift the presser foot lever, 2. The "eyelet" of the take up spring (see pg 25 part marked N).
My suggested order of assembly assumes you are removing that eyelet on the spring, or getting another spring without one, such as this:
https://www.vintagesingerparts.com/c...-numbered-dial
I have marked up your original picture with numbers for the parts in more or less the order I would use, no number on the spring itself, just the post.
1. Discs 2 and 3 go on 1 from the slotted end, with the flared edges of the discs facing out, opposite each other but inside the squared off loop on your spring
2. Part 1 with the discs on it goes into 4 with the arm of the spring from where the eyelet was removed floating in one of the spaces/gaps on part 4 between the housing and the base plate with the long finger, or that arm being cut short enough that it won't hit the housing
3. Part 5, turned over from how it is in your picture, slid onto part 1, the post, with the crossmember of part 5 in the slot
4. Part 6, turned over from how it is in your picture, onto part 1, the post, on top of part 5; I am assuming part 6 has edges on it that will allow the part 7, the spring, to fit into it, if not turn it over
5. Part 7, the spring, with the crossmember in the slot of part 1, the post, on top of part 6
6. Part 8, the thumb nut, screwed onto the post directly contacting part 7, the spring
I hope this helps. I can't see any other way with the parts in your picture.