I struggle to think of a situation where I would willingly undermine TOTP security by storing the secrets in my web browser.
Before using this for anything you can't afford to lose, I suggest thinking twice. And then twice again.
Edit to elaborate:
Web browsers are probably the single most targeted component in a desktop computer, have an enormous attack surface, and suffer from an unending stream of vulnerabilities and exploits discovered practically every month. Storing your 2FA secrets there is akin to putting a second lock on your door and hiding the key under the doormat.
And no, encrypting the secrets in the browser for storage-at-rest does not solve this problem, because it also delegates decryption to the browser. That means an exploited browser can access all of your secrets as soon as you request a TOTP from any of them. Closing it won't help, because an exploited browser can trivially save or give away a copy of the password you entered, or the decryption key that was generated from it, or the secrets themselves, so your secrets are then compromised forever.
2FA generators are generally built as stand-alone programs for good reason. Even the ones that offer a browser extension don't let it access the secret storage.
Really, think twice before depending on this design for anything important.