Support up-to-date `botocore`

[jakob-keller]

Description of Change

This PR intends to improve general compatibility of aiobotocore within the Python ecosystem by bumping the dependency specification of botocore, as well as boto3 and awscli. This PR also implicitly adds support for urllib3 2.2.1+ in Python 3.10+.

Assumptions

Upstream diff does not contain any changes that require adjustments to the aiobotocore codebase. This allows for the proposed widening of the botocore dependency specification.

Checklist for All Submissions

• [x] I have added change info to CHANGES.rst
• [x] If this is resolving an issue (needed so future developers can determine if change is still necessary and under what conditions) (can be provided via link to issue with these details): closes #1095
  • [ ] Detailed description of issue
  • [ ] Alternative methods considered (if any)
  • [ ] How issue is being resolved
  • [ ] How issue can be reproduced
• [ ] If this is providing a new feature (can be provided via link to issue with these details):
  • [ ] Detailed description of new feature
  • [ ] Why needed
  • [ ] Alternatives methods considered (if any)

Checklist when updating botocore and/or aiohttp versions

• [x] I have read and followed CONTRIBUTING.rst
• [x] I have updated test_patches.py where/if appropriate (also check if no changes necessary)
• [x] I have ensured that the awscli/boto3 versions match the updated botocore version

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 86.29%. Comparing base (a904bd1) to head (b28d0c0).

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #1100 +/- ## ========================================== - Coverage 86.34% 86.29% -0.06% ========================================== Files 62 62 Lines 5910 5910 ========================================== - Hits 5103 5100 -3 - Misses 807 810 +3 ``` | [Flag](https://app.codecov.io/gh/aio-libs/aiobotocore/pull/1100/flags?src=pr&el=flags&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=aio-libs) | Coverage Δ | | |---|---|---| | [unittests](https://app.codecov.io/gh/aio-libs/aiobotocore/pull/1100/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=aio-libs) | `86.29% <100.00%> (-0.06%)` | :arrow_down: | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=aio-libs#carryforward-flags-in-the-pull-request-comment) to find out more.

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