[feat] replace eslint & prettier with biome

[jrson83]

Description

Replace eslint & prettier with biome.

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

Additional context

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

• 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.
• Configure lint rules

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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