e2e: generate async QA tests

[davejrt]

This PR effectively addresses the core of sourcegraph/sourcegraph#12340.

There are remaining tests to add here, however they're captured in separate issues as they need to addressed individually.

[codecov]

Codecov Report

Merging #15191 into main will increase coverage by 0.00%.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main   #15191   +/-   ##
=======================================
  Coverage   52.59%   52.59%           
=======================================
  Files        1601     1601           
  Lines       80188    80188           
  Branches     7001     7001           
=======================================
+ Hits        42172    42173    +1     
  Misses      34210    34210           
+ Partials     3806     3805    -1     

Flag	Coverage Δ
#go	52.56% <ø> (+<0.01%)	⬆️
#integration	30.43% <ø> (+<0.01%)	⬆️
#storybook	26.12% <ø> (ø)
#typescript	52.66% <ø> (-0.01%)	⬇️
#unit	34.29% <ø> (ø)

Impacted Files	Coverage Δ
...ient/web/src/search/input/LazyMonacoQueryInput.tsx	77.77% <0.00%> (-22.23%)	⬇️
cmd/repo-updater/repos/types.go	74.44% <0.00%> (+0.24%)	⬆️
.../internal/codeintel/resolvers/graphql/locations.go	85.56% <0.00%> (+2.06%)	⬆️