Properly handle the extended timeout in backgrounded requests

[puddly]

Fixes home-assistant/core#60101

[codecov-commenter]

Codecov Report

Merging #103 (27db841) into dev (4ac608c) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##              dev     #103   +/-   ##
=======================================
  Coverage   98.84%   98.84%           
=======================================
  Files          44       44           
  Lines        3800     3801    +1     
=======================================
+ Hits         3756     3757    +1     
  Misses         44       44           

Impacted Files	Coverage Δ
zigpy_znp/api.py	98.18% <100.00%> (+<0.01%)	⬆️

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