Store conversation history in durable format

### 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
- [x] I have run `q doctor` in the affected terminal session
- [x] I have run `q restart` and replicated the issue again

### Operating system

macOS 15.3.0 (24D60)

### Expected behaviour

> it would be great to have the CLI store the command / prompt history in a durable form, .bash_history -style.

### Actual behaviour

CLI does not have this functionality right now.

### Steps to reproduce

_No response_

### Environment

```yaml
[q-details]
version = "1.7.2"
hash = "b6bf5f1675dd7395009e8bc65c1145820671f211"
date = "2025-03-21T01:36:16.66764Z (6d ago)"
variant = "full"

[system-info]
os = "macOS 15.3.0 (24D60)"
chip = "Apple M1"
total-cores = 8
memory = "16.00 GB"

[environment]
cwd = "/Users/USER/experiments/amazon-q-developer-cli"
cli-path = "/Users/USER/experiments/amazon-q-developer-cli"
os = "Mac"
shell-path = "/bin/zsh"
shell-version = "5.9"
terminal = "macOS"
install-method = "unknown"

[env-vars]
PATH = "/Users/USER/.local/share/mise/installs/node/18.20.2/bin:/Users/USER/.local/share/mise/installs/python/3.12.8/bin:/Users/USER/.local/share/mise/installs/python/3.11.11/bin:/Users/USER/.local/share/mise/installs/python/3.10.16/bin:/Users/USER/.local/share/mise/installs/python/3.9.21/bin:/Users/USER/.local/share/mise/installs/python/3.8.20/bin:/opt/homebrew/bin:/opt/homebrew/sbin:/usr/local/bin:/System/Cryptexes/App/usr/bin:/usr/bin:/bin:/usr/sbin:/sbin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/local/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/bin:/var/run/com.apple.security.cryptexd/codex.system/bootstrap/usr/appleinternal/bin:/Users/USER/.cargo/bin:/Users/USER/.local/bin:/Applications/Visual Studio Code.app/Contents/Resources/app/bin:/Users/USER/.toolbox/bin:/Users/USER/Library/Python/3.x/bin:/Users/USER/Library/Python/3.13/bin"
QTERM_SESSION_ID = "c8e1122bfbb14624948b6d5a1e5c26ee"
Q_SET_PARENT_CHECK = "1"
Q_TERM = "1.7.2"
SHELL = "/bin/zsh"
TERM = "xterm-256color"
__CFBundleIdentifier = "com.apple.Terminal"
```

まず、クローズされた pull request #978 を確認し、CLI に既存のコマンド履歴とプロンプト履歴の処理を特定します。セッション間で永続ストレージがどのように動作すべきかを定義し、コマンド履歴とプロンプト履歴を .bash_history 形式で取得できることを検証します。

索引モデルが issue の本文から書いたものです。