[MIRROR] Biogen refactor + fixes [no gbp] (#2793)

* Biogen refactor + fixes [no gbp] (#83589)

## About The Pull Request
They were using a nested uselocalstate which I naively converted to
usestate

This gave it the treatment(tm) which means just simplifying it by not
creating a component which maps new items inside of itself

I also fixed the layout shift caused by buttons / pricing

![image](https://github.com/tgstation/tgstation/assets/42397676/f8f99d68-4d50-4d73-a266-020487e6764b)
## Why It's Good For The Game
Fixes #83571
## Changelog
:cl:
fix: Fixed the biogenerator's tabs
/:cl:

* Biogen refactor + fixes [no gbp]

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Co-authored-by: Jeremiah <[email protected]>
Co-authored-by: NovaBot13 <[email protected]>