Fix Offline message flickering in offline mode

[MrFlashAccount]

Pull Request Description

This PR fixes annoying behavior when Fallback shows offline message even if ongoing requests are runnig (e.g. when we interact with ProjectManager or LocalBackend)

Important Notes

Checklist

Please ensure that the following checklist has been satisfied before submitting the PR:

• [ ] The documentation has been updated, if necessary.
• [ ] Screenshots/screencasts have been attached, if there are any visual changes. For interactive or animated visual changes, a screencast is preferred.
• [ ] All code follows the Scala, Java, TypeScript, and Rust style guides. In case you are using a language not listed above, follow the Rust style guide.
• [ ] Unit tests have been written where possible.