Update Rust crate profiling to v1.0.16 (#19334)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
| [profiling](https://redirect.github.com/aclysma/profiling) |
workspace.dependencies | patch | `1.0.15` -> `1.0.16` |

---

### Release Notes

<details>
<summary>aclysma/profiling (profiling)</summary>

###
[`v1.0.16`](https://redirect.github.com/aclysma/profiling/blob/HEAD/CHANGELOG.md#1016)

[Compare
Source](https://redirect.github.com/aclysma/profiling/compare/v1.0.15...v1.0.16)

-   Address warnings from upstream rustc changes
-   Update puffin to 0.19.1
-   Update tracing-tracy to 0.11.3 and tracing-subscriber to 0.3
-   Implement finish_frame! for tracing
-   Add fuction_scope!() as an alternative to the function proc macro
- Avoid local variable names that don't start with an underscore
introduced into a function's namespace

</details>

---

### Configuration

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are satisfied.

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rebase/retry checkbox.

🔕 **Ignore**: Close this PR and you won't be reminded about this update
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---

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---

Release Notes:

- N/A

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Cargo.lock

@@ -8818,18 +8818,18 @@ dependencies = [
 
 [[package]]
 name = "profiling"
-version = "1.0.15"
+version = "1.0.16"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "43d84d1d7a6ac92673717f9f6d1518374ef257669c24ebc5ac25d5033828be58"
+checksum = "afbdc74edc00b6f6a218ca6a5364d6226a259d4b8ea1af4a0ea063f27e179f4d"
 dependencies = [
  "profiling-procmacros",
 ]
 
 [[package]]
 name = "profiling-procmacros"
-version = "1.0.15"
+version = "1.0.16"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "8021cf59c8ec9c432cfc2526ac6b8aa508ecaf29cd415f271b8406c1b851c3fd"
+checksum = "a65f2e60fbf1063868558d69c6beacf412dc755f9fc020f514b7955fc914fe30"
 dependencies = [
  "quote",
  "syn 2.0.76",