What happens if additional BTC is sent to a source address after setting a specific transaction output?

Let's say you are collecting BTC from multiple addresses and sending it to one particular address. For example, you have 3 addresses:

Address A: 1 BTC Address B: 2 BTC Address C: 1 BTC You want to send all the BTC to Address D, so you would expect to send 4 BTC minus the transaction fee. You don't need a change address since you want to collect all the BTC and then move it to some exchange.

Now, let's say you instruct the blockchain to send 3.9 BTC to Address D and leave 0.1 BTC for the transaction fee.(only example fee for ilustration purpose)

Question: If someone accidentally sends 0.5 BTC to Address A before the transaction is initiated, will the entire remaining balance (0.5 BTC) be used as a fee for the miner or it will remain there or will the transaction be rejected? Or what would happen to this additional BTC?



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