I constantly have a Facebook icon in the corner of Safari

VAXman wrote:

Safari is wonky after latest MacOS update. I constantly have a Facebook icon in the corner of Safari EVEN after flushing caches, deleting all history and purging all cookies.

You have it pinned there—

Control click it open ...

ref:

Pin frequently visited websites in Safari on Mac - Apple Support

The current stable release of Ventura including bug fixes, security updates is macOS Ventura 13.5.2

Keep your Mac up to date - Apple Support

Keep your Mac up to date - Apple Support

VAXman wrote:

That's a stupid thing to turn on!

?

I suspect you did this to yourself unknowingly....

If you grab & drag the tab to the left it will pin it. Likewise you can grab & drag to the right to unpin it as well.

For "stupid" you can —submit your Apple Feedback direct to the product team here: https://www.apple.com/feedback/safari.html