When the chat interface for support pops up, it just repeatedly asks me to "Please provide GOG GALAXY log files"

No.

That is from an issue in the past.

I need to open a new ticket.

But there is no way to just.. restart things.

So now I'm stuck in that stupid loop forever...?

Because the people who implemented this support system didn't consider... literally... didn't consider.... of all things.. the notion that someone might have.. another support issue.. after having had one in the past..?

Oh.

My.

Absolute.

100%

God.

Playnite here I 100% come.

I had the same issue just yesterday: I managed to solve this by deleting the site cookies referring to the bot.

Read your first thread about this from a few hours ago.