2023-09-05 11:40:54.266 The process is running and is waiting for a response from the server. It is showing same error since last 3 hours.
Strictly speaking, that does not look like an error to me. It is just an informational message.
However, I see that the Bulk Insert SPID related to Distribution agent is waiting with wait type 'Async_Network_IO' error.
ASYNC_NETWORK_IO is not an error, but it is a wait type. I am little surprised to see this wait type with BULK INSERT, though. Normally, you see this wait type if there is a SELECT statement returning many rows, and the network or the client is slow in slow in transferring/consuming these rows. That is, SQL Server is waiting for rows being cleared from its output buffer and is prey to external circumstances beyond its control.
Exactly what is the issue here I don't know, but maybe it is waiting for BCP to feed more rows. In any case, it is an issue outside SQL Server. Maybe you have saturated some network resource with those 10 GB.
Since this operation is blocking the rest of replication to work, maybe the best is to cancel the operation. Although, how do that I don't not know - I don't work much with replication myself.