The ecosystem for the kind of things you mention is expanding rapidly, have a look at these:
https://typst.app/universe/package/fletcher
https://typst.app/universe/package/quill
https://github.com/fenjalien/cirCeTZ
These are based on CeTZ: https://github.com/johannes-wolf/cetz , a kind of TikZ for typst. I don't see anything for Young Tableaux but it should be easy to do based on that.
The ecosystem for the kind of things you mention is expanding rapidly, have a look at these:
https://typst.app/universe/package/fletcher
https://typst.app/universe/package/quill
https://github.com/fenjalien/cirCeTZ
These are based on CeTZ: https://github.com/johannes-wolf/cetz , a kind of TikZ for typst. I don't see anything for Young Tableaux but it should be easy to do based on that.