A $5 tool will probably cause you a lot of grief!
The spokes/nipples probably haven't had a wrench on them in about 25 years and are likely corroded tight.
A cheap wrench will just round off nipples.
If you try it, get a GOOD wrench and apply a drop of penetrating oil to each nipple first.
I get my PO in a can and use a hypo to apply the oil. You can apply a drop to the 3-4 nipples closest to the ground, give it a minute to run in, rotate the wheel 3-4 more spokes & repeat.