[Debug] The response to runInTerminal { kind: "external" ... } request does not arrive until the terminal is closed

[vadimcn]

Does this issue occur when all extensions are disabled?: N/A

• VS Code Version: 1.96.4
• OS Version: Ubuntu 22.04 x64

Steps to Reproduce:
From a debug adapter extension, send a runInTerminal request with kind: "external".

Result:
A new terminal opens, and the specified command is executed. However, the response to the message is not sent until the command completes or the window is closed by the user.

Expected Behavior:
Previously, the response would be sent immediately, as expected (and this is still the case for integrated terminals). However, at some point in the past year, this behavior has regressed as described above.