[NodeJS] Update fastify endpoint to use dd-trace's custom OTel context manager

[ida613]

Update the fastify end point otel_drop_in_baggage_api_otel to use dd-trace-js's custom OTel context manager. Before this change, OpenTelemetry api calls in this end point do not go through any of the otel drop in support code within dd-trace-js.

Changes

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• Anything but tests/ or manifests/ is modified ? I have the approval from R&P team
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[github-actions]

CODEOWNERS have been resolved as:

utils/build/docker/nodejs/fastify/app.js                                @DataDog/dd-trace-js @DataDog/system-tests-core

[datadog-datadog-prod-us1]

⚠️ Tests

✨ Fix all issues with Cursor

⚠️ Warnings

❄️ 1 New flaky test detected

tests.debugger.test_debugger_inproduct_enablement.Test_Debugger_InProduct_Enablement_Code_Origin.test_inproduct_enablement_code_origin[fastify] from system_tests_suite (Datadog) (Fix with Cursor)

AssertionError: Expected code origin enabled by default
assert False
 +  where False = <tests.debugger.test_debugger_inproduct_enablement.Test_Debugger_InProduct_Enablement_Code_Origin object at 0x7f92e4555310>.co_initial_state

self = <tests.debugger.test_debugger_inproduct_enablement.Test_Debugger_InProduct_Enablement_Code_Origin object at 0x7f92e4555310>

    def test_inproduct_enablement_code_origin(self):
        self.assert_rc_state_not_error()
        self.assert_all_weblog_responses_ok()
    
...

ℹ️ Info

🧪 All tests passed

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[chatgpt-codex-connector]

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[chatgpt-codex-connector]

Use a dd-trace path that exists in npm installs

This endpoint now requires dd-trace/packages/dd-trace/src/opentelemetry/context_manager, but in the default Docker build dd-trace is installed from npm (see utils/build/docker/nodejs/install_ddtrace.sh). The published package doesn’t include the monorepo path packages/dd-trace/..., so require will throw MODULE_NOT_FOUND and the endpoint will 500 in the common npm-install case. This only works when the monorepo layout is present (e.g., a local repo build), so the endpoint becomes broken for standard installs.

Useful? React with 👍 / 👎.

[ida613]

how do i fix it?