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I assume you read this:
[https://support.ledger.com/hc/en-us/articles/360018969814-Receive-mining-proceeds](https://support.ledger.com/hc/en-us/articles/360018969814-Receive-mining-proceeds)
The only way is to enter the seed phrase (that you use with your mining rewards) in a software wallet (like Electrum), in order to build the transactions.
If you have other cryptos under that seed phrase, you should move them somewhere else before because the seed could get compromised when you enter it in a software wallet.
When you do mining, you should accumulate all your small mining reward UTXO’s in a software wallet, then consolidate in a ledger only from time to time.
The issue is that the ledger takes time to sign each small UTXO, so if you have hundreds of them it could take hours, and possibly cause the ledger processor to overheat and fail.
Note also that the nano S+ are about 3 times faster than the nano S, so it could help to try with a nano S+, if you have one.