Feature Request: Allow sent chat messages to be edited

[Stephen-S-H]

• OS version: Mac Sonoma 14.5
• Editor version: VS-code 1.92.0
• Programming language: any
• TabNine extension version: 3.135.0

Feature request:

Allow editing of chat messages and responses.

We are missing out on some of the strengths of AI chat by not being able to edit messages in the history. Deleting the response and editing your sent message before re-submitting is a really nice quality of life improvement. Not to mention that being able to edit the AI responses has a lot of utility, as you can clean up unwanted parts of the AI's suggestion and improve its future responses in that conversation.

gz#34112

(related to Zendesk ticket #34112)