fix(azure_functions): add await so async functions are instrumented without errors

[duncanpharvey]

Add await for async Azure Functions to prevent errors on instrumentation.

https://datadoghq.atlassian.net/browse/SVLS-6703

Additional Notes:

There is an opportunity for some refactoring in order to better reuse code. In the interest of getting this fix out as quickly as possible I plan on handling that refactor in a separate PR.

Checklist

• PR author has checked that all the criteria below are met
• The PR description includes an overview of the change
• The PR description articulates the motivation for the change
• The change includes tests OR the PR description describes a testing strategy
• The PR description notes risks associated with the change, if any
• Newly-added code is easy to change
• The change follows the library release note guidelines
• The change includes or references documentation updates if necessary
• Backport labels are set (if applicable)

Reviewer Checklist

• Reviewer has checked that all the criteria below are met
• Title is accurate
• All changes are related to the pull request's stated goal
• Avoids breaking API changes
• Testing strategy adequately addresses listed risks
• Newly-added code is easy to change
• Release note makes sense to a user of the library
• If necessary, author has acknowledged and discussed the performance implications of this PR as reported in the benchmarks PR comment
• Backport labels are set in a manner that is consistent with the release branch maintenance policy

[github-actions]

CODEOWNERS have been resolved as:

releasenotes/notes/fix-azure-functions-async-b9f61567dfb7eaba.yaml      @DataDog/apm-python
tests/snapshots/tests.contrib.azure_functions.test_azure_functions_snapshot.test_http_get_ok_async.json  @DataDog/apm-python
tests/snapshots/tests.contrib.azure_functions.test_azure_functions_snapshot.test_http_get_ok_async_obfuscated.json  @DataDog/apm-python
tests/snapshots/tests.contrib.azure_functions.test_azure_functions_snapshot.test_http_get_ok_obfuscated.json  @DataDog/apm-python
tests/snapshots/tests.contrib.azure_functions.test_azure_functions_snapshot.test_timer_async.json  @DataDog/apm-python
ddtrace/contrib/internal/azure_functions/patch.py                       @DataDog/apm-core-python @DataDog/apm-idm-python
tests/contrib/azure_functions/azure_function_app/function_app.py        @DataDog/apm-core-python @DataDog/apm-idm-python
tests/contrib/azure_functions/test_azure_functions_snapshot.py          @DataDog/apm-core-python @DataDog/apm-idm-python

[github-actions]

Bootstrap import analysis

Comparison of import times between this PR and base.

Summary

The average import time from this PR is: 231 ± 2 ms.

The average import time from base is: 233 ± 2 ms.

The import time difference between this PR and base is: -2.2 ± 0.1 ms.

Import time breakdown

The following import paths have shrunk:

ddtrace.auto 2.010 ms (0.87%)

ddtrace.bootstrap.sitecustomize 1.305 ms (0.57%)

ddtrace.bootstrap.preload 1.305 ms (0.57%)

ddtrace.internal.products 1.305 ms (0.57%)

ddtrace.internal.remoteconfig.client 0.637 ms (0.28%)

ddtrace 0.705 ms (0.31%)

ddtrace._logger 0.035 ms (0.02%)

logging 0.035 ms (0.02%)

traceback 0.035 ms (0.02%)

contextlib 0.035 ms (0.02%)

[pr-commenter]

Benchmarks

Benchmark execution time: 2025-05-01 12:24:09

Comparing candidate commit 5c0587f in PR branch duncan-harvey/azure-functions-async with baseline commit 1f98157 in branch main.

Found 14 performance improvements and 3 performance regressions! Performance is the same for 484 metrics, 7 unstable metrics.

scenario:iast_aspects-ospathbasename_aspect

• 🟥 execution_time [+453.230ns; +605.747ns] or [+10.911%; +14.583%]

scenario:iast_aspects-ospathjoin_aspect

• 🟥 execution_time [+846.928ns; +929.022ns] or [+13.852%; +15.194%]

scenario:iast_aspects-rsplit_aspect

• 🟥 execution_time [+124.882ns; +149.787ns] or [+8.373%; +10.042%]

scenario:packagesupdateimporteddependencies-import_many

• 🟩 execution_time [-27.240ms; -27.106ms] or [-99.676%; -99.188%]

scenario:packagesupdateimporteddependencies-import_many_cached

• 🟩 execution_time [-27.150µs; -25.435µs] or [-18.345%; -17.187%]

scenario:packagesupdateimporteddependencies-import_many_stdlib

• 🟩 execution_time [-726.296ms; -722.767ms] or [-100.142%; -99.655%]

scenario:packagesupdateimporteddependencies-import_many_stdlib_cached

• 🟩 execution_time [-726.796ms; -723.826ms] or [-100.181%; -99.772%]

scenario:packagesupdateimporteddependencies-import_many_unknown

• 🟩 execution_time [-29.995ms; -29.851ms] or [-97.535%; -97.067%]

scenario:packagesupdateimporteddependencies-import_many_unknown_cached

• 🟩 execution_time [-237.555µs; -225.172µs] or [-23.172%; -21.964%]

scenario:packagesupdateimporteddependencies-import_one

• 🟩 execution_time [-11.258ms; -11.213ms] or [-100.023%; -99.624%]

scenario:packagesupdateimporteddependencies-import_one_cache

• 🟩 execution_time [-693.802ns; -594.242ns] or [-9.953%; -8.525%]

scenario:packagesupdateimporteddependencies-import_one_stdlib

• 🟩 execution_time [-10.329ms; -10.282ms] or [-100.044%; -99.594%]

scenario:packagesupdateimporteddependencies-import_one_stdlib_cache

• 🟩 execution_time [-716.285ns; -632.607ns] or [-10.345%; -9.136%]

scenario:packagesupdateimporteddependencies-import_one_unknown

• 🟩 execution_time [-19.720ms; -19.624ms] or [-100.011%; -99.526%]

scenario:packagesupdateimporteddependencies-import_one_unknown_cache

• 🟩 execution_time [-724.526ns; -634.092ns] or [-10.366%; -9.072%]

scenario:samplingrules-average_match

• 🟩 execution_time [-185.810µs; -181.575µs] or [-36.003%; -35.182%]

scenario:samplingrules-low_match

• 🟩 execution_time [-348.943µs; -345.156µs] or [-67.548%; -66.815%]

[hghotra]

✅