## Description
Blocked by #4125.
This PR removes the skipping of building Python 3.11 wheels in our build_deploy job.

## Checklist
- [x] Title must conform to [conventional commit](https://github.com/conventional-changelog/commitlint/tree/master/%40commitlint/config-conventional).
- [x] Add additional sections for `feat` and `fix` pull requests.
- [x] Ensure tests are passing for affected code.
- [x] [Library documentation](https://github.com/DataDog/dd-trace-py/tree/1.x/docs) and/or [Datadog's documentation site](https://github.com/DataDog/documentation/) is updated. Link to doc PR in description.

## Motivation

## Design

## Testing strategy

## Relevant issue(s)

## Testing strategy

## Reviewer Checklist
- [x] Title is accurate.
- [x] Description motivates each change.
- [x] No unnecessary changes were introduced in this PR.
- [x] PR cannot be broken up into smaller PRs.
- [x] Avoid breaking [API](https://ddtrace.readthedocs.io/en/stable/versioning.html#interfaces) changes unless absolutely necessary.
- [x] Tests provided or description of manual testing performed is included in the code or PR.
- [x] Release note has been added for fixes and features, or else `changelog/no-changelog` label added.
- [x] All relevant GitHub issues are correctly linked.
- [x] Backports are identified and tagged with Mergifyio.
- [x] Add to milestone.

(cherry picked from commit 62852e3)

This is an automatic backport of pull request #4337 done by [Mergify](https://mergify.com).


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