@serg Welcome to the forum!
At first, I wanted to respond with “did you choose the right server region?” - but when it works when you change the master password, I think you already chose the right server region (US/.com or EU/.eu) before… (?!)
I didn’t test it with Opera and the Opera browser extension - but with a test account, I have no problems using these three special characters $ * & in the master password, logging in to the extension.
The extensions shouldn’t be that different from browser to browser… but did you try it with another browser (e.g. Firefox or Brave)?
And did you check via the “visibility toggle”, you didn’t have any typos in your master password input?
PS: Though, special characters indeed can be problematic… more to that here: [Guide] "I can't login" - Some tips for login problems/issues (scroll down in this whole linked 4th section of the guide)