As noted previously (by 3 of us), using a "Guest" network for both OBS PC and a mobile OS device/camera is likely to NOT work, as default settings are typically to prevent Guest devices from communicating with each other as a basic security measure (think coffee shop guests devices being able to hack each other... a bad thing... so somewhat blocked/prevented by default)
short version - WiFi gets complicated/technical quickly. There are NO easy WiFi answers/solutions to what you are trying to do, that I'm aware of (that aren't enterprise class pricey, and with technical expertise required to operate).
"use your own network" Yes I have a router but I can only get wifi from the church or saloon they don't have a ethernet cable to give. My router will not connect to wifi. Can I buy a router that connect to public wifi?
Yes, LOTS of routers can make WAN connection to someone else's WiFi network (be that 'public', 'Guest', or otherwise)
Though super old and not recommended, as an example a family member of mine had the Netgear PR2000, which would connect to Guest WiFi to create own network. There are plenty of Routers (ex 'travel'/RV) that can connect to someone else's WiFi to create your own network.... Many (not all) typical consumer routers, should be be able to connect to a WiFi network as WAN link.. I have many old routers that could do this. Not exactly the same, and other (sometimes significant security) implications, but some routers may call a similar capability acting in 'Bridge' mode.
side note: I'd avoid a 'travel' router that insists on creating its own VPN connection. The overhead in doing so is likely to be problematic
If/When setting up your own WiFi network at a site that already has WiFi, you MUST be careful to avoid overlapping WiFi channels (you will have to figure this out... do NOT skip this step if you don't understand). Failing to head this advice could easily lead to your WiFi being inconsistent/non-functional, essentially connecting but not working, AND you may fully disrupt site's WiFi (and get you kicked out). And by nature of WiFi beaconing, specific setup is strongly recommended to keep your WiFi AP from communicating ONLY with your camera and specifically blocking/ignoring all other WiFi clients
" use the phone's hotspot" True but the camera with droid was too far away from the hotspot to get signal. Better to use facilities wifi however other people was affecting the 12 mbs upload speed.
Using WiFi for this is ALWAYS going to be problematic, and NOT recommended, unless you have Network Engineer level real-time monitoring skills, and understanding of avoiding conflicts and signal contention. period. And even then, there is no 'magic' that will create bandwidth. Consumer WiFi was NEVER designed for real-time latency and jitter sensitive traffic. (Streaming TV works as receiving devices buffer traffic to overcome WiFi. basic physics)
Using different radio frequency spectrum (not WiFi) is certainly one way to get around signal contention, but will be pricey as you've found. And with limited market for such solutions, that is to be expected (in some jurisdiction, this would require specific licenses/gov't permission to use such gear). You may be thinking, but wait, 'I've seen others do this. It has to be easier'. And the answer is - it can be... *IF* you have ability to created a protected WiFi environment where your 'cameras' get Quality of Service priority over all other WiFi traffic, meaning cameras are on unique channels/bands as required, and stream platform is Ethernet wired [as Aaron mentioned]. I could do this at my house easily, with 50->100+ folks on guest WiFi. BUT most sites don't have the equipment, skill, or inclination to support such a setup.
Without such a specialized setup, Using a sites WiFi for communication between camera and OBS will always be a huge problem, as your camera traffic will NOT be prioritized, AND your OBS PC will then be sending video stream out on same bandwidth, naturally resulting in conflict/contention. period.
Once in a rare while, with limited to no other guest WiFi devices powered on, and depending on specific Access Point and your clients (example using different WiFi frequency bands)... might occasionally work.. enough to fool someone into thinking it should normally work (a false assumption). As noted previously... using your own multi-radio (critical detail) router, wire OBS PC into that, then use one WiFi radio to connect to site's WiFi, then using 2nd radio/frequency/channel (also not in use by site, which will vary per location) to connect to mobile camera... might work... but lots could interfere... as noted earlier, this stuff gets complicated quickly.
Modern WiFi has only just moved beyond advanced Walkie-talkie async communication capability (and your 'driod phone may not actually support that, depending on device age/WiFi version support).
Serious productions often need to work with the venue to get special exceptions to their security, or to run wires. Often both, and well beforehand. You don't just show up and start running.
Exactly. Even non-serious productions will require someone network savvy to have any chance of success in streaming from such venues as you've mentioned. And even with someone network savvy, some sites WiFi (used ONLY for Internet uplink) simply isn't going to support video streaming at any decent bitrate no matter what you do when others guests using same network. That is, you could test (even LOTS of testing) ahead of time, and streaming works fine. Guests arrive and it stops working... that would probably be normal/expected, actually. it depends.
With unknown Internet connectivity, I'd expect/be prepared to record locally and upload later (ie, livestream could easily fail, and not be fixable without a wired connection, and even with a wired connection, if sites Internet connection itself gets overloaded with traffic).
A decent multi-radio WiFi Router (researched prior to purchase to confirm), should be able to handle the site connection, wired connection to streaming PC, and creating separate WiFi network for ONLY mobile camera (1. secured against other connections, and 2. WiFi channel overlap ... ie. expect to have to check/manually adjust this 'your private WiFi' for each location). With this, make sure mobile camera ('droid) can support the matching/associated 'Private Wifi' network settings (example, may require disabling MAC address randomization)