David,
Pretty much spot on. For anyone trying to replicate here it is in more detail. I am open to helping out with questions if needed.
Suggest a hardwired (Ethernet) connection for internet. I am using a router into a switch to Compter and Mixer and the wireless from the router to run an Android tablet.
Video camera hdmi out to video capture card to convert to USB3 into computer. It also gives you HDMI out for a large screen TV or whatever. I spent around $200 on router, switch, video capture card and various cables. I went with cheap card as a test using an older camera we had around. If doing a from scratch suggest a better video card and camera. (internal PCI bus card for less lag and Hero 9 camera)
Audio to Mixer. I am using a Beringer X-Air 18 with as name suggests 18 input channels. It is a digital mixer with USB out and infinitely programmable routing making it particularly well suited for streaming/recording/live. Audio software is X-Air Pro very nice program runs under Windows/Mac and Android or iPad tablets wirelessly which is very helpful in live situations. Using the USB out to the computer for stream and XLR for the live PA. Goes for about $600
OBS (Online Broadcast Software) is open source free -- runs Windows/Mac/Linux supports up to 4 cameras. It is very flexible but you have to work at it. It will stream directly to YouTube,Twitch and a bunch more. Unfortunately, it doesn't directly support Zoom so you have to do that custom. I'm running the Windows version heard the Mac flavor is kind of buggy. Sure Linux is solid as a rock most things linux are.
Path is Audio to Xair software mix is then ported to OBS and combined with Video which is then sent into Zoom.
The inbound sound from Zoom audience goes from computer audio out into an extra channel on the mixer for the PA.
Perry