Hi,
Actually, this part works for vEdge too:
https://www.cisco.com/c/en/us/support/docs/routers/vedge-router/217948-transfer-files-between-a-vedge-and-vmana.html#anc58
Use WinSCP to copy from local computer to vEdge (I tested with vEdge-cloud it works).
Protocol: SFTP
Port: 22
Username/password: admin/respective_pass
If you want to do update from transport interface, ensure that tunnel-interface has allow-service sshd.
HTH,
Please rate and mark as an accepted solution if you have found any of the information provided useful.