Bump botocore dependency specification

[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.

Assumptions

Upstream diff contains several changes that require adjustments to the aiobotocore codebase.

Checklist for All Submissions

• I have added change info to CHANGES.rst
• 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 botocore 1.37.0 required for claude 3.7 #1306
  • 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

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

[codecov]

Codecov Report

Attention: Patch coverage is 99.06977% with 2 lines in your changes missing coverage. Please review.

Project coverage is 90.62%. Comparing base (295cc41) to head (9090431).
Report is 36 commits behind head on master.

Files with missing lines	Patch %	Lines
aiobotocore/credentials.py	94.11%	1 Missing ⚠️
aiobotocore/session.py	80.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1307      +/-   ##
==========================================
+ Coverage   90.48%   90.62%   +0.14%     
==========================================
  Files          68       68              
  Lines        6336     6542     +206     
==========================================
+ Hits         5733     5929     +196     
- Misses        603      613      +10     

Flag	Coverage Δ
unittests	90.62% <99.06%> (+0.14%)	⬆️

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[jakob-keller]

I'm bumping botocore up until 1.37.1 for now. 1.37.2 includes new serializers, which need more time for me to digest.

[jakob-keller]

With regards to test coverage: The two missing lines are also not tested in upstream, as far as I see it. Overall coverage was improved slightly.