If you do it by GDPG (I heard that it might the official measure, but that's not confirmed) then you get very similar results:
View attachment 12291
MADE MISTAKES ON PREVIOUS POST
If you seed the groups by dropping in groups 1,2,3,4,4,3,2,1,1,2,3,4,4... etc.
You get:
Group 1: LAFC, Chicago, Portland, Atlanta
Group 2: Inter Miami, Sporting KC, NYCFC, Philadelphia Union
Group 3: NYRB, San Jose, LAG, Austin,
Group 4: RSL, Charlotte, Toronto, Austin
Seeding: 1,2,3,4,1,2,3,4 you get:
Group 1: LAFC, Charlotte, Portland, Toronto
Group 2: Inter Miami, San Jose, NYCFC, Austin,
Group 3: NYRB, Sporting KC, LAG, Philadelphia,
Group 4: RSL, Chicago Fire, Houston, Atlanta