Lukazlim: Replace dependency requests with httpx

[cclauss]

Describe your change:

Fixes: #12732

• Replace dependency requests with httpx #12732

@lukazlim

• Replace dependency requests with httpx #12743 by lukazlim
• Replace dependency requests with httpx #12742 by lukazlim
• Replace dependency requests with httpx #12741 by lukazlim

---

• Fix algorithms?
• Fix a bug or typo in an existing algorithm?
• Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
• Documentation change?

Checklist:

• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized.
• I know that pull requests will not be merged if they fail the automated tests.
• This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
• All new Python files are placed inside an existing directory.
• All filenames are in all lowercase characters with no spaces or dashes.
• All functions and variable names follow Python naming conventions.
• All function parameters and return values are annotated with Python type hints.
• All functions have doctests that pass the automated testing.
• All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
• If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

[cclauss]

@lukazlim Thanks much for doing this! Would you be willing to create another pull request that adds a README.md to the web_programming directory? THA file could contain a list or table of the algorithms and the results of running them.

Status:

• Works as expected.
• Requires an API token.
• Broken