Rename the C and Rust report running APIs to match the C++ API

[cameron-craig-etas]

This PR updates the C and Rust "report running" API names to match the C++ API name.
We would like the API names to be consistent to they are easier to work with.

[github-actions]

License Check Results

🚀 The license check job ran with the Bazel command:

bazel run --lockfile_mode=error //:license-check

Status: ⚠️ Needs Review

Click to expand output

[License Check Output]
Extracting Bazel installation...
Starting local Bazel server (8.6.0) and connecting to it...
INFO: Invocation ID: e9395eeb-1e46-43b1-9d35-736414b5259c
Computing main repo mapping: 
Computing main repo mapping: 
Loading: 
Loading: 0 packages loaded
Loading: 0 packages loaded
Loading: 0 packages loaded
    currently loading: 
Loading: 0 packages loaded
    currently loading: 
Loading: 0 packages loaded
    currently loading: 
Analyzing: target //:license-check (1 packages loaded, 0 targets configured)
Analyzing: target //:license-check (1 packages loaded, 0 targets configured)

Analyzing: target //:license-check (31 packages loaded, 10 targets configured)

Analyzing: target //:license-check (80 packages loaded, 10 targets configured)

Analyzing: target //:license-check (86 packages loaded, 10 targets configured)

Analyzing: target //:license-check (140 packages loaded, 443 targets configured)

Analyzing: target //:license-check (152 packages loaded, 2793 targets configured)

Analyzing: target //:license-check (153 packages loaded, 3054 targets configured)

Analyzing: target //:license-check (159 packages loaded, 7992 targets configured)

Analyzing: target //:license-check (164 packages loaded, 8271 targets configured)

Analyzing: target //:license-check (164 packages loaded, 8271 targets configured)

Analyzing: target //:license-check (164 packages loaded, 8271 targets configured)

Analyzing: target //:license-check (168 packages loaded, 10283 targets configured)

Analyzing: target //:license-check (168 packages loaded, 10283 targets configured)

INFO: Analyzed target //:license-check (169 packages loaded, 10409 targets configured).
[13 / 16] JavaToolchainCompileClasses external/rules_java+/toolchains/platformclasspath_classes; 0s disk-cache, processwrapper-sandbox
[14 / 16] JavaToolchainCompileBootClasspath external/rules_java+/toolchains/platformclasspath.jar; 0s disk-cache, processwrapper-sandbox
INFO: Found 1 target...
Target //:license.check.license_check up-to-date:
  bazel-bin/license.check.license_check
  bazel-bin/license.check.license_check.jar
INFO: Elapsed time: 26.555s, Critical Path: 2.53s
INFO: 16 processes: 12 internal, 3 processwrapper-sandbox, 1 worker.
INFO: Build completed successfully, 16 total actions
INFO: Running command line: bazel-bin/license.check.license_check ./formatted.txt <args omitted>
usage: org.eclipse.dash.licenses.cli.Main [-batch <int>] [-cd <url>]
       [-confidence <int>] [-ef <url>] [-excludeSources <sources>] [-help] [-lic
       <url>] [-project <shortname>] [-repo <url>] [-review] [-summary <file>]
       [-timeout <seconds>] [-token <token>]

[github-actions]

The created documentation from the pull request is available at: docu-html