Issue:
Deep health check for outgoing request in scheduler

Resolution:
<think>
PR Context:
- Title: fix: add outgoing checks for scheduler
- Merged: 2024-02-02T10:03:33Z
- Files changed: 2 files
- Commits: 1 commits

Implementation approach:
## Type of Change
<!-- Put an `x` in the boxes that apply -->
- [x] Bugfix

## Description
<!-- Describe your changes in detail -->
Closes #3524 . Add an outgoing request check for scheduler.

## Motivation and Context
<!--
Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.

If you don't have an issue, we'd recommend starting with one first so the PR
can focus on the implementation (unless it is an obvious bug or docum
</think>

To implement this, you'll need to modify:


**Detailed Implementation:**


**Commit 1:** fix: add outgoing checks for scheduler (#3526)
Files to modify:


**crates/api_models/src/health_check.rs**
  Modify existing code

**crates/router/src/bin/scheduler.rs**
  Modify existing code