All the invidious instances I've tried either don't work or their API is disabled - Sorry I didn't see "through your browser".
Not all invidious instances work. A lot of them have been hit by Youtube. But NewPipe still works - until it gets targeted too I guess. It's a game of cat and mouse with Google - and it's fucking tiring.
Personally, if I can't watch Youtube in third party clients - which happens regularly courtesy of Google - then I don't watch Youtube at all. The official clients are simply too painful - not to mention, a privacy-invading nightmare.
For sure, I use Libredirect on firefox to open all youtube links in freetube. There isn't anything worth watching on youtube where I have to be signed in to see. Not worth the privacy loss.