Just to clarify, Ente supports iOS and Android, and has a web portal for desktop access. I also see on their README: "For adding or managing your secrets, please use our mobile app." So the web portal only seems to provide read-only access. That's very different than a native desktop app like Authy used to support.

IMO, if you're going to expose your 2FA to the internet, you might as well go all-in on an internet-based solution. If you're in the market for that, there's plenty of options. A lot of the password managers support 2FA now (Bitwarden, Proton Pass, 1Password). If you don't want your passwords and 2FA stored in the same place, you could use one manager to keep passwords and another for 2FA.

If you want more privacy-oriented options...

• KeePass or KeePassXC with a syncing service like Syncthing or Nextcloud
• Keeweb (no updates in 2 years, looking for a new maintainer)