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"
```

Bắt đầu bằng việc xem xét pull request đã đóng #978 và xác định cách CLI hiện đang xử lý lịch sử lệnh và prompt. Xác định bộ nhớ lưu trữ lâu bền cần hoạt động như thế nào giữa các phiên, đồng thời kiểm tra rằng lịch sử lệnh và prompt có thể được truy xuất dưới dạng tương tự .bash_history.

Do mô hình lập chỉ mục viết ra từ nội dung của issue.