@SEBAST1AN 

Can you post a screenshot of your router's Network (Advanced), IPTV page settings?  That will help in giving you the needed settings.

  @jra11500 
Yeah sure,
I've collected both router and switch. On current setting IPTV works, but I do not have internet access on PS4.
I've read few articles about how it should set-up, but I didn't handle it.

P.S. TL-SG105 is sold as unmanaged switch, but has a bunch of options when enter the ip of switch: like QoS, port forwarding, so it is managable :D 

Screenshots:
Archer AX6000

TL-SG105, I've selected in my opinion the important tabs.

  @SEBAST1AN 

The problem I see is getting an internet connection to the switch.  The internet and IPTV connections can not be combined if the router's LAN port is configured for IPTV.  As your switch has all its ports assigned , that could also be a problem in case you need another connection between the router and the switch and you might need a TL-SG108E.

Perhaps another forum member can help you but I do not see a quick solution.

  @terziyski 

Unfortunately it cannot be connected directly, the wiring is, how it is. But I've share you only part of the network.
I've read somewhere, that it's possible to couple LAN and IPTV using additional switch. I have second switch which is just near router with 2 spare ports.

Maybe you have an idea how to reroute it ? Ports in patch-panel are "hardwired" to different rooms.
TL-SG105 is in different room, TL-SG108 is together with router.
This is the full picture. maybe you will figure out something. 

Mayby such solution will work:

  @jra11500 
Do I need to use the same VLAN IDs as in Router (Internet-51/IPTV-67) or this is separate topic, and those VLANs are local and only matter that I have correct pairs ? 

  @jra11500 
Folks, it WORKS!
I don't know what have I eaten, that it is with rhyme written ;)

Thank you for support!
PS4 and IPTV works at once, without problem :)
Final result:

  @SEBAST1AN 

Unless an end device (such as the TV decoder) expects a particular VLAN tag, you should be able to use any numbers of your choosing.  It only matters that you have correct pairs on the switch trunk but it might not be a bad idea to use the VLAN IDs that your router uses if that helps to keep everything less confusing.

I have never tested the use of the IPTV port in a Tp-Link router and I would think that the router removes the VLAN ID on egress from the port leaving the data frames untagged.  Then, what you are doing is retagging the frames for the trunk connection.