You can convert on chain to lightning in Mutiny Wallet, wallets like muun, cash app and strike have a unified btc balance that can send and receive from either.
Interesting. But why is Mutiny demanding for a certain amount of sats to be deposited for new users. That's the reason why I haven't been using Mutiny wallet.
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AFAIK Mutiny does not have it's own LSP but relying on Voltage to provide JIT channels for the users that needs channel on-demand
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