[testing] [APM DCS R&D] Incorporate synctest

[hannahkm]

What does this PR do?

Experiments with using synctest on our slowest tests.

Motivation

Reviewer's Checklist

• Changed code has unit tests for its functionality at or near 100% coverage.
• System-Tests covering this feature have been added and enabled with the va.b.c-dev version tag.
• There is a benchmark for any new code, or changes to existing code.
• If this interacts with the agent in a new way, a system test has been added.
• Add an appropriate team label so this PR gets put in the right place for the release notes.
• Non-trivial go.mod changes, e.g. adding new modules, are reviewed by @DataDog/dd-trace-go-guild.
• For internal contributors, a matching PR should be created to the v2-dev branch and reviewed by @DataDog/apm-go.

Unsure? Have a question? Request a review!

[datadog-datadog-prod-us1]

Datadog Report

Branch report: apmlp-rd/synctest
Commit report: 259f645
Test service: dd-trace-go

✅ 0 Failed, 5304 Passed, 72 Skipped, 3m 58.33s Total Time

[pr-commenter]

Benchmarks

Benchmark execution time: 2025-03-14 20:25:44

Comparing candidate commit 6a99d48 in PR branch apmlp-rd/synctest with baseline commit 7a1fe4e in branch ben.db/sync-test-rd.

Found 0 performance improvements and 0 performance regressions! Performance is the same for 60 metrics, 2 unstable metrics.