H-1915: Add manually-triggered test for entire AI inference process

[CiaranMn]

🌟 What is the purpose of this PR?

TODO

🚫 Blocked by

• [ ] Seeing if it works in CI
• [ ] Putting the checks back so that it doesn't run on pull_request

Pre-Merge Checklist 🚀

🚢 Has this modified a publishable library?

This PR:

• [x] does not modify any publishable blocks or libraries, or modifications do not need publishing

📜 Does this require a change to the docs?

The changes in this PR:

• [x] are internal and do not require a docs change

🕸️ Does this require a change to the Turbo Graph?

The changes in this PR:

• [x] do not affect the execution graph

⚠️ Known issues

🛡 What tests cover this?

• This one

❓ How to test this?

1. ...

📹 Demo

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 0% with 2 lines in your changes are missing coverage. Please review.

Project coverage is 24.93%. Comparing base (8b46313) to head (5967ed5). Report is 79 commits behind head on main.

Files	Patch %	Lines
...ntities-websocket/handle-infer-entities-request.ts	0.00%	1 Missing :warning:
...phic-utils/src/production-crunchbase-company-id.ts	0.00%	1 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3953      +/-   ##
==========================================
- Coverage   24.95%   24.93%   -0.02%     
==========================================
  Files         361      362       +1     
  Lines       12817    12825       +8     
  Branches     1653     1654       +1     
==========================================
  Hits         3198     3198              
- Misses       9582     9590       +8     
  Partials       37       37              

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[semgrep-app[bot]]

Semgrep found 1 helmet_feature_disabled finding:

• apps/hash-api/src/index.ts
  • L248 - Triage

One or more Security Response header is explicitly disabled in Helmet.

_{Ignore this finding from helmet_feature_disabled.}