How to hide the toolbar in Screen Sharing by default?

I use the Screen Sharing utility to see the desktop of some headless machines (from a URL like ‘vnc://username@servername’). In macOS 15 Sequoia (unlike macOS 12 Monterey), Screen Sharing always starts with the toolbar showing.  This is annoying, as the toolbar takes vertical space, slightly squashing the window contents.  (You can of course click on the ‘View’ menu, click on ‘Hide Toolbar’, and then double-click the titlebar to zoom the window and reclaim the space — but that's tedious to do every time you open a new window.) Is there any way to configure it to hide the toolbar initially? I haven't found anything relevant on the web, or in the Screen Sharing or system settings.  I don't want to run it in full-screen mode — even though that gives the maximum possible screen space — as I often want to refer to other windows at the same time.  I've tried removing every button &c from the toolbar, but it takes the full height even when empty. --- (It may be a coincidence, but the ability to hide the toolbar seems to have reduced over time.  Early versions of Mac OS X showed a rounded ‘lozenge’ at the right-hand end of the titlebar which would show and hide the toolbar; later on, the toolbar's context menu had a ‘Hide Toolbar’ option underneath those for choosing Icon and/or Text — see [this question](https://apple.stackexchange.com/q/30950/291214) .  Now the top-level menu option seems to be the only way, and it doesn't even have a default keyboard shortcut.)