Switching to stylistic eslint plugin

[ST-DDT]

As typescript-eslint v8 removes some rules we are using in favor of https://eslint.style/, we want to implement e.g. @stylistic/eslint-plugin-ts so we can still benefit from rules like padding-line-between-statements

This needs to be done, before we can merge #3064, so we don't loose the checks for these rules.

This issue was created out of a thread over in #3064:

**todo (blocking):** before simply removing this lint rule, we need to add https://eslint.style/rules/ts/padding-line-between-statements

Originally posted by @Shinigami92 in #3064 (comment)

In typescript-eslint v8 has been removed as it has been moved to the eslint-stylistic package.
This issues serves as a reminder to add the rule back and to unblock the dependency update: #3064

• chore(deps): update dependency typescript-eslint to v8 #3064

[Shinigami92]

I updated the description of the issue to reflect more accurate what's going on and what is needed.

As I'm not sure if I have the time to tackle this in the upcoming days, the good first issue label is really welcome here.