Wire Desktop isn't loading both on Mac M1 and Windows PC

[timashev]

Wire version: 3.36.5009 (mac) / 3.35.4798 (win)
Wire for Web version: not displayed on macOS / 2024.08.07.10.06.46 (win)
Operating system: Sonoma 14.6.1 / Windows 11 Pro 23H2 build 22631.3880
Which antivirus software do you have installed: none (mac) / standard Windows Security only (win)

What steps will reproduce the problem?

1. I have previously installed Wire Desktop app on both my Mac and Windows PC and it worked fine (logged in, reading and sending messages, etc).
2. Now when I launch Wire Desktop app on both my Mac and Windows PC they both are "loading" infinitely. I tried to use VPN (US, UK, and other servers), but nothing helps. Tried to delete Wire.app on Mac and reinstalled it from App Store – same result.
3. https://app.wire.com/ works fine on my Mac in Chrome (this is my fav browser, but I can see Login screen in Safari as well, so it seems working).

What is the expected result?

Conversations and other UI controls should be displayed.

What is the actual result?

Loading screen is displayed for eternity.

Please provide any additional information below. Attach a screenshot if possible.

macOS 14.6.1:

Windows 11 Pro 23H2: