Connect laptop to TV for screen transfer?

I want to be able to transfer my screen from the laptop to the TV.

My laptop and my TV are both connected to the Wi-Fi.
When I click on SWL (Samsung Wireless Link) on my TV, it asks for WPS… When I press that, I have 120 seconds to press the WPS button.

On the laptop press Windows + k to find the TV but it doesn't find it…
Do I have WPS on the laptop? If yes, where?

Because otherwise I only know that push the button on the wireless router.
I know I could connect it with an HMDI cable but the TV is just on the TV furniture and far away from the sofa, I would have to put the laptop there somehow and sit in front of it to use the laptop and that would be too cumbersome for me.
I also checked whether I had Miracast but I couldn't find anything on TV.
Can someone help me there?
I just want to be able to easily transfer the screen from the laptop to the TV and still have the laptop next to me to click anything at all.
I thank you in advance

Need Miracast.

Otherwise, use the Fire TV Stick or Chromecast