Feature: Make vortex-tui a library

[connortsui20]

Closes: #5742

Also adds documentation everywhere and refactors a bunch of stuff to be more ergonomic since it's now "more" user facing.

[codspeed-hq]

CodSpeed Performance Report

Merging #5779 will not alter performance

_{Comparing ct/tui-lib (35330a5) with develop (9159495)}

Summary

✅ 1254 untouched
⏩ 623 skipped¹

Footnotes

1. 623 benchmarks were skipped, so the baseline results were used instead. If they were deleted from the codebase, click here and archive them to remove them from the performance reports. ↩

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 82.03%. Comparing base (9159495) to head (35330a5).

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[gatesn]

You need to take session as an argument here!