Adds TeamCity checks w/ updated supported Python versions.

[ghost]

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[russell-inorbit]

@elvioaruta I added you as a reviewer but I can give you extra context if you need it. This sets up builds on TeamCity including the Qodana quality check. You can see the 4 builds in the checks.

It also changes support version to 3.8-->3.11. I removed 3.7 since it is no longer a supported version of Python.

There are no actual code changes, just configuration. You should have access to the TC build and guest access should have access for read-only.

[ghost]

Closing this to connect it to the correct account for the PR.