If additional BTC is sent to a source address after setting a specific transaction output, the outcome depends on the wallet's behavior.
In some cases, the additional BTC sent to the source address may be included as part of the transaction and sent to the intended destination address.
In other cases, the wallet may consider the additional BTC as a fee and deduct it from the total amount being sent.
Alternatively, the wallet may reject the transaction if it detects a discrepancy between the intended transaction output and the actual balance in the source address, considering it as an error.