We have the power to fight back! Contact politicians in your country and demand a faster transition to renewable energy. The economic harms caused by climate change are far greater than the cost of switching to renewable energy.
One possible idea I had is to take advantage of global anti-Trump sentiment and urge countries especially those hit hard by Trump's tariffs to fight back by buying less fossil fuels especially less fossil fuels from the U.S. I'm not sure if people from other countries understand just how influential the U.S. fossil fuel industry is in electing Trump and Republicans. It's similar to how people are (unfortunately too slowly it seems) moving away from buying Russian fossil fuels.
So when you boycott fossil fuels you're stopping authoritarian regimes and saving the planet.
There are pros and cons to that.
Advantage is of course you get peace and quiet like that. No TV might feel more relaxing.
Downside is someone might plug the TV in again which will turn it back on to Fox. Changing the channel means you can show unbiased news and maybe if for example you change the station to PBS, people will get educated. People might leave it on the channel you changed it to due to apathy. A TV that's off is more noticeable.
I'd recommend if it's possible especially if you're the only one in the room at the time consider going into the channel editor and removing Fox News and other propaganda stations from the channel list.