[7.7] [DOCS] Modifies link that points to .NET client page. (#90229)

[szabosteve]

Backports the following commits to 7.7:

• [DOCS] Modifies link that points to .NET client page. ([DOCS] Modifies link that points to .NET client page #90229)

[szabosteve]

@elasticsearchmachine test this please

[szabosteve]

@gtback Could you please help me with this one? 🙏 The docs-check fails with no apparent connection to this PR. I would need to merge this PR to unblock this: elastic/elasticsearch-net#6658. It would be great if you could take a look when the time permits. Thank you in advance!

[gtback]

👋🏻 Hey @szabosteve . elasticsearch-ci/docs-check has nothing to do with the the elastic/docs repo.

@mark-vieira is the one who wrote and maintains this job. My guess is that because the 7.7 branch is so old that it might be outdated and it's fine to just merge this, but I'd like to get confirmation from Mark first if possible.

[szabosteve]

@gtback Thanks for the clarification! I didn't know about it! I'll wait for confirmation from @mark-vieira then.