Gee, let's talk about what oil Micky should use! That's worse than politics.
Just after the carb was rebuilt did it leak, or is this something that just started?
A tilly will out perform a Zenith any day. No reason to change. As noted above try a viton tip needle and see what happens.
When you say you checked the float, what did you check? Shake it and see if there is anything inside of it. Check the float level so that it is 5/8", you will need a gauge for that.
https://www.snydersantiqueauto.com/...FUEL-LEVEL-GAUGE?fromCategory=SearchByKeyword