feat: Add latency to the recover handler context

[hoslo]

Description (what this PR does / why we need it):

Add latency to the recover handler context

Which issue(s) this PR fixes (resolves / be part of):

fixes #2597

Other special notes for the reviewers:

[codecov-commenter]

Codecov Report

Merging #2653 (886f93a) into main (a006328) will decrease coverage by 0.15%.
The diff coverage is 100.00%.

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@@            Coverage Diff             @@
##             main    #2653      +/-   ##
==========================================
- Coverage   84.99%   84.85%   -0.15%     
==========================================
  Files          88       88              
  Lines        3873     3875       +2     
==========================================
- Hits         3292     3288       -4     
- Misses        409      413       +4     
- Partials      172      174       +2     

Impacted Files	Coverage Δ
middleware/recovery/recovery.go	100.00% <100.00%> (ø)
config/file/watcher.go	59.37% <0.00%> (-6.25%)	⬇️
config/file/file.go	61.90% <0.00%> (-4.77%)	⬇️
internal/context/context.go	97.01% <0.00%> (-2.99%)	⬇️

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