Mule Tape Size for Pulling 4/0 4/0 2/0 180ft in 2 1/2" conduit
I only use 1” mule tape and poly string for the most part if I am pulling in a larger service using a tugger I will use double braided rope.
I would suggest rope for a diy pull as I have not seen “small spools” of mule tape or poly pull string.
If this is a long pull you would be better off with some pull lube, in the old days we used dawn dish soap but it drys out and if you ever need to get it out of the pipe it can be a pain, today I use poly water,  And other lubes.
A straight pull some one pushing and someone pulling you should not need much strength, the reason I use wider tape is to keep from cutting through gloves and hands AND through conduit I have had small tape cut through a sweep with pvc even with lube.
a rope may be your most cost effective method unless a big box store has smaller spools I buy pull string in buckets that are over a mile and I believe the mule tape 1000’ is a small spool but there may be smaller ones out there. But you can buy 3/8 rope much cheaper.