Your wheel - best fixed by an old mechanic who was doing it 40 years ago because your rim is almost certainly bent. Common in the old, pre- modern higher strength aluminums common for bicycle rims. THe standard practice then for getting that rim "right", straight and very close to true was a practice heavily frowned on now by mechanics, shop owners and lawyers. Loosen the spokes around the bent, then slam that area of the wheel hard on a concrete step or the like to bend it back straight. (Rim never quite goes back perfect. The beginning and end of the bent stretch will have work hardened and resist going back to it's previous. But a skilled mechanic can get the overall shape so close the wheel will roll and brake just fine. And to the whole operation in 10 minutes. (Our mechanic used to tell the customer 4 hours - just to get him out of the shop and do with with no one but us employees watching!)

This practice is riskier with the rims after yours with the new alloys. Far stronger, less "mild" and doesn't take to being bent and re-bent nearly as well. Modern mechanics will either not touch your rim or want to adjust spokes to correct the true. If your rim is indeed bent, that means unequal tensions on the spokes to force the rim to run straight. Such a wheel will never be a "happy" wheel and very likely be an ongoing problem. So look for that old mechanic. And if he refuses to let you watch him - well I think you just found one of the good ones!