bug: When q chat automatically compacts, it still keeps giving context overflow error

### Checks

- [x] I have searched [github.com/aws/amazon-q-developer-cli/issues](https://github.com/aws/amazon-q-developer-cli/issues?q=) and there are no duplicates of my issue

### Operating system

Ubuntu 22.04

### Expected behaviour

When the context window is about to overflow, q chat automatically compacts the conversation. I should then be able to continue using it.

### Actual behaviour

When the context window is about to overflow, q chat automatically compacts the conversation. However, it still does not remove the problem with context window overflow problem and no more requests can be processed. /usage shows only 69% context usage, but any further request shows the error --
Your conversation is too large to continue.
• Run /usage to analyze your context usage
• Run /clear to reset your conversation state

### Steps to reproduce

Use q chat to build or debug software and use it for long until the context is full.
q chat automatically compacts the coversation.
still fails to take anymore request.

Ubuntu 22.04 の q chat で、長い会話を自動コンパクションが発生するまで続けて問題を再現し、その後 /usage を確認して別のリクエストを送信します。コンパクションによってオーバーフロー状態が解消され、使用量が一貫したまま、/clear を必要とせずにリクエストが成功すれば、修正は完了です。

索引モデルが issue の本文から書いたものです。