Port 32600 is what the Plex Tuner Service listens on, and so when the main Plex Media Server process needs the tuner to do something it calls the tuner service via port 32600. From your Plex Tuner Service logs it looks like at Dec 2 07:46:15 your tuner service started up and began listening on 32600:
Dec 02, 2020 07:46:15.631 [8436] INFO - [I] web_server_t::start. Starting web server on port 32600
but then a few seconds later it received an error and shut down:
Dec 02, 2020 07:46:19.164 [5892] INFO - [I] DeviceGetListEx_impl: Filter [Hauppauge WinTV-dualHD ATSC Tuner]
Dec 02, 2020 07:46:19.165 [5892] INFO - [I] DeviceGetListEx_impl: device instance path usb#vid_2040&pid_826d#0013956234#
Dec 02, 2020 07:46:19.165 [5892] INFO - [I] DeviceGetListEx_impl: Filter [Hauppauge WinTV-dualHD ATSC Tuner 2]
Dec 02, 2020 07:46:19.166 [5892] INFO - [I] DeviceGetListEx_impl: device instance path usb#vid_2040&pid_826d#0013956234#
Dec 02, 2020 07:46:19.166 [5892] INFO - [I] DeviceGetListEx_impl: pDL->Count:2
Dec 02, 2020 07:46:19.166 [1976] WARN - [E] web_service_t::get_device_status. Failed to make compound device for device uuid dvb#bda#usb#vid_2040&pid_826d#0013956166#
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term. Stop all devices
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term. Shut down all device auxes
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] bda_aux_t::term
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] web_server_t::stop. Web server is stopped
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term. Stop all devices
Dec 02, 2020 07:46:41.107 [8436] INFO - [I] device_manager_t::term. Shut down all device auxes
Dec 02, 2020 07:46:41.122 [8436] INFO - [I] broker_t::shutdown. Shutdown is completed.
So at 7:56 no tuner service was listening. The tuner service error from this was:
Dec 02, 2020 07:46:19.166 [1976] WARN - [E] web_service_t::get_device_status. Failed to make compound device for device uuid dvb#bda#usb#vid_2040&pid_826d#0013956166#
I found this thread where someone experienced a similar issue, and fixed it by deleting the EPG database files and letting them rebuild. Worth a shot?
32600 is using the http protocol on 32600, but it isn’t going to render a “proper” web page. Likely you will get some type of XML response that your browser will try to render as best it can. I can’t fathom why changing the default browser would have an impact on Plex…