fix: Test flake for DataDog agent logs

[kylecarbs]

Sometimes the DataDog agent would fail to connect and
angrily log using the standard lib logger. This would
fail tests. See:

https://github.com/coder/coder/runs/6038192436?check_suite_focus=true

[codecov]

Codecov Report

Merging #1026 (855923a) into main (1c55572) will increase coverage by 9.66%.
The diff coverage is 100.00%.

@@            Coverage Diff             @@
##             main    #1026      +/-   ##
==========================================
+ Coverage   57.35%   67.02%   +9.66%     
==========================================
  Files         256      256              
  Lines       14987    14991       +4     
  Branches      136      136              
==========================================
+ Hits         8596    10047    +1451     
+ Misses       5473     3947    -1526     
- Partials      918      997      +79     

Flag	Coverage Δ
unittest-go-macos-latest	53.58% <100.00%> (-0.18%)	⬇️
unittest-go-postgres-	66.63% <100.00%> (?)
unittest-go-ubuntu-latest	56.16% <100.00%> (-0.01%)	⬇️
unittest-go-windows-2022	53.05% <100.00%> (-0.02%)	⬇️
unittest-js	62.97% <ø> (ø)

Impacted Files	Coverage Δ
cli/start.go	63.84% <100.00%> (+5.18%)	⬆️
peerbroker/proxy.go	58.13% <0.00%> (-2.91%)	⬇️
provisioner/echo/serve.go	56.80% <0.00%> (-2.41%)	⬇️
provisionerd/provisionerd.go	80.73% <0.00%> (-1.03%)	⬇️
provisioner/terraform/provision.go	68.54% <0.00%> (+0.43%)	⬆️
coderd/templates.go	62.29% <0.00%> (+1.63%)	⬆️
peer/conn.go	80.20% <0.00%> (+2.28%)	⬆️
coderd/workspaceagents.go	61.60% <0.00%> (+3.12%)	⬆️
peerbroker/listen.go	87.50% <0.00%> (+3.33%)	⬆️
... and 8 more

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[Emyrk]

Interesting. I'll assume debug level is ok since this is just metrics.