Hi Celine2325,
welcome to the Apple (user-to-user) Community.
Re: "I have connection problem on my phone"
Wondering if your iPhone's iOS is up-to-date with the latest iOS version:
About iOS 16 Updates says 16.4.1 is the latest version.
Updating may help, if you are still using an earlier iOS16 version..
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Else, if you are using the latest iOS version already,
Restarting the iPhone will often help put things right, when not working:
How to: Restart your iPhone
You could then re-test.
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Sometimes. if you use VPN, that can cause interference, so try turning VPN off temporarily, to see if that makes a difference.
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If needed:
Re: "I don’t have “Local Network” option inside the app"
What to do: If an app would like to connect to devices on your local network
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You might want to check through:
Connect to Wi-Fi on your iPhone, iPad, or iPod touch - Apple Support
Then:
Apple support have a trouble-shooting article online that covers a lot:
If your iPhone or iPad won't connect to a Wi-Fi network
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More info:
How iOS, iPadOS, and macOS decide which wireless network to auto-join - Apple Support
or
Recommended settings for Wi-Fi routers and access points - Apple Support
or
Resolve Wi-Fi and Bluetooth issues caused by wireless interference - Apple Support
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If needed:
More Support (online chat, phone, eMail etc, from "Get Support" link):
iPhone Support:
iPhone - Official Apple Support
All the best :-)