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If this is indeed a race condition, there's no reliable way to trigger it.
Do you have gnome-keyring-daemon.service still enabeld? What if you disable it?
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I ended up solving this by simply deleting ~/.local/share/keyrings/ and logging in again. I logged in again once or twice via GDM and opened seahorse/"passwords and keys" and a new Login keyring was created. I set that keyring to default and then opened Brave. Brave creates a "Brave Safe Storage" and a "Chrome Safe Storage Control" entry/key. After that, when I login via GDM with my password it still automatically unlocks the Login keyring (set to the same password as my login) and performs normally. If I login via my fingerprint, it actually doesn't pop up any password prompt for the keyring at all. Then if I open Brave it prompts me for the password and only one time. I much prefer that behavior than what it had been doing for years previously which was prompting me for a password as soon as Gnome opened.
I'll mark this as solved. Thanks for the help.
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