continuing chat sessions that are initiated with piped input

### 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

Linux 5.10.234-205.895.amzn2int.x86_64 - Amazon Linux 2

### Expected behaviour

the chat session should continue

### Actual behaviour

the chat session ends before I can reply or say "yes" to the proposed action

### Steps to reproduce

`cat ./lib/stacks/workflowStack.ts | q chat "can you help me, with the context i just added"`

### Environment

```yaml
[q-details]
version = "1.7.0"
hash = "8885a6708f2f07d02d29460a96f9c422da095e49"
date = "2025-03-06T01:03:21.313384Z (6d ago)"
variant = "minimal"

[system-info]
chip = "AMD EPYC 7R13 Processor"
total-cores = 16
memory = "123.22 GB"

[system-info.os.linux]
kernel_version = "5.10.234-205.895.amzn2int.x86_64"
id = "amzn"
name = "Amazon Linux"
pretty_name = "Amazon Linux 2"
version_id = "2"
version = "2"
variant = "internal"

[environment]
cwd = "/local/home/USER"
cli-path = "/local/home/USER"
os = "Linux"
shell-path = "/local/home/USER/.toolbox/tools/toolbox/1.1.1726.0/toolbox-exec"
shell-version = "5.8"
install-method = "toolbox"
in-ssh = true

[env-vars]
PATH = '/home/USER/.toolbox/bin:/home/USER/.toolbox/bin:/home/linuxbrew/.linuxbrew/bin:/home/linuxbrew/.linuxbrew/sbin:/apollo/env/envImprovement/bin:/home/USER/.cargo/bin:/usr/local/bin:/usr/bin:/home/USER/bin:/usr/local/sbin:/usr/sbin:/home/USER/.local/bin:/home/USER/bin:/usr/local/bin/mwinit:/home/USER/.toolbox/bin:/home/USER/CoolScripts:/home/USER/dotnet:/Applications/Visual\ Studio\ Code.app/Contents/Resources/app/bin:/home/linuxbrew/.linuxbrew/bin'
SHELL = "/bin/zsh"
TERM = "xterm-256color"
```

まず、報告された Linux 環境で `cat ./lib/stacks/workflowStack.ts | q chat "can you help me, with the context i just added"` を再現し、次にパイプ経由の入力を処理する `q chat` のエントリーポイントを追跡します。パイプ経由のコンテキストで開始したセッションが開いたままになり、ユーザーが返信したり、提案されたアクションを確認したりできれば完了です。

索引モデルが issue の本文から書いたものです。