There might be several reasons why you are experiencing connectivity problems.
Some networks are very restricted. Please try to activate the network DNS option for your network.
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In Blokada app, go to Advanced tab → Networks
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Tap your network name (you may need to give permissions to Blokada first on that screen, and reconnect to your network)
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Tap “Prefer network DNS”
This will make Blokada use your network’s DNS whenever your device is connected to this network. You will see the network icon become green when this configuration is applied.
If this does not help, please check if you are using Blokada Plus (the orange mode - when your location is changed with VPN). If this is the case, then please also select the option “Force Libre mode”, which you can find on the same screen described above.
Let me know if this helped with your connectivity on your network.