refactor: prevent usage of `this.state` inside `setState` calls

[damianstasik]

New Pull Request Checklist

• [x] I am not disclosing a vulnerability.
• [x] I am creating this PR in reference to an issue.

Issue Description

This PR enables ESLint react/no-access-state-in-setstate rule that disallows access of this.state within setState calls. This can prevent nasty bugs caused by referencing old state, unfortunately while refactoring the code I spotted multiple direct this.state manipulations which should be also refactored as soon as possible to avoid unexpected behavior caused by for example concurrent rendering in React 18.

Related issue: #1950

Approach

TODOs before merging

• [ ] Add tests
• [ ] Add changes to documentation (guides, repository pages, in-code descriptions)
• [x] A changelog entry is created automatically using the pull request title (do not manually add a changelog entry)

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