[feat] replace eslint & prettier with biome

[jrson83]

Description

Replace eslint & prettier with biome.

• [x] Remove dependencies & recommended extensions
• [x] Add biome & recommended extension
• [x] Configure biome with current eslint & prettier config (as close as possible)
• [x] Replace package.json scripts
• [x] Run linter check & formatter check
• [x] Fix any lint errors manually if necessary
• [x] Ensure build, test etc. working

Additional context

@itsjavi can you please take care of this task, before I create a draft PR:

• [x] Extract @r1stack/coding-style/jest-preset into a own package, so it does not include any deps. Or alternatively create a one file config, so the root stays clean.

• [x] Configure lint rules

Current limitations

Since currently the biome extends option is not extending, it is not possible to share multiple configuration files.

[itsjavi]

@jrson83 done, I extracted all configs from r1stack/coding-style and removed the dependency.

[jrson83]

merged