[BDGR-170] [WIP] Load continuity into vMix and VTs into OBS

[markspolakovs]

Dependencies:

• [BDGR-161] Introduce "micro-server" based standalone desktop tests #416 (not a hard blocker, but I'd like to test this stuff properly)

Still to do:

• UI for setting what gets loaded where (could be a follow-up PR)
• Testing!

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 21.98%. Comparing base (c9bece9) to head (cd90049).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #385   +/-   ##
=======================================
  Coverage   21.98%   21.98%           
=======================================
  Files          96       96           
  Lines        3620     3620           
  Branches      595      595           
=======================================
  Hits          796      796           
  Misses       2823     2823           
  Partials        1        1           

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[github-actions]

	Fails
🚫	TODOs without issue key. Please file a Linear ticket and add the number to the comment: + // TODO: this may merit refactoring to reduce prop-drilling
🚫	Found 1 FIXME comments. Please either remove them or convert them to TODOs (with an associated Linear ticket).

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