chore: move websearch tests back to main tests suite

[ZanSara]

Related Issues

• fixes n/a

Proposed Changes:

• move websearch tests back to main tests suite with the integration marker. They are skipped if the API key is missing.

How did you test it?

n/a

Notes for the reviewer

n/a

Checklist

• I have read the contributors guidelines and the code of conduct
• I have updated the related issue with new insights and changes
• I added unit tests and updated the docstrings
• I've used one of the conventional commit types for my PR title: fix:, feat:, build:, chore:, ci:, docs:, style:, refactor:, perf:, test:.
• I documented my code
• I ran pre-commit hooks and fixed any issue

[coveralls]

Pull Request Test Coverage Report for Build 6246486092

• 0 of 0 changed or added relevant lines in 0 files are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage remained the same at 49.251%

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Totals
Change from base Build 6246380218:	0.0%
Covered Lines:	11903
Relevant Lines:	24168

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💛 - Coveralls