feat(amazonq): add handling for button clicks (#7125)

## Problem
With aws/language-servers#1037, the chat client
will forward the button click event to the host client (VSC in this
case). We are then responsible for making a request to the LSP with this
button click.

## Solution
- route the button click to the LSP. 
- log any failed button click actions. 

## Verification
See aws/language-servers#1037, for a demo of the
e2e button hookup working.

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Apache 2.0 license.

Author: Hweinstock