Can you try the following in your Android 11 device?
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Uninstall existing BRouter app from your device
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Download the latest BRouter zip from BRouter website
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Extract and install the “BRouter_api10.apk” in your device
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Start BRouter
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Grant the storage permission
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Select “/storage/emulated/0” as base dir
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Download the routing data for your selected regions
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See if you can access the profiles in “/storage/emulated/0/brouter”

